Kleinian groups and hyperbolic 3-manifolds :: proceedings of the Warwick Workshop, September 11-14, 2001 /
Collection of papers summarising the state of the art. Ideal for graduate students or established researchers.
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2003.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
299. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Collection of papers summarising the state of the art. Ideal for graduate students or established researchers. |
| Beschreibung: | 1 online resource (vii, 384 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 0511065647 9780511065644 9780511542817 051154281X 9780521540131 0521540135 9780511067778 0511067771 |
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| 245 | 0 | 0 | |a Kleinian groups and hyperbolic 3-manifolds : |b proceedings of the Warwick Workshop, September 11-14, 2001 / |c edited by Y. Komori, V. Markovic, C. Series. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2003. | ||
| 300 | |a 1 online resource (vii, 384 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 299 | |
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Series-title; Title; Copyright; Contents; Preface; Part I Hyperbolic 3-manifolds; Combinatorial and geometrical aspects of hyperbolic 3-manifolds; 1. Introduction; 1.1. Object of Study; 1.2. Kleinian surface groups; 1.3. Models and bounds; 1.4. Plan; 2. Curve complex and model manifold; 2.1. The complex of curves; 2.2. Model construction; 2.3. Geometry of the model; 3. From ending laminations to model manifold; 3.1. Background; 4. The quasiconvexity argument; 4.1. The bounded-curve projection; 4.2. Definition of Pi; 5. Quasiconvexity and projection bounds. | |
| 505 | 8 | |a 5.1. Relative bounds for subsurfaces5.2. Penetration in Margulis tubes; 5.3. Proof of the tube penetration theorem; 6. A priori length bounds and model map; 6.1. Proving the a priori bounds; 6.2. Constructing the Lipschitz map; 6.3. Consequences; References; Harmonic deformations of hyperbolic 3-manifolds; 1. Introduction; 2. Deformations of hyperbolic structures; 3. Infinitesimal harmonic deformations; 4. Effective Rigidity; 5. A quantitative hyperbolic Dehn surgery theorem; 6. Kleinian groups and boundary value theory; References; Cone-manifolds and the density conjecture; 1. Introduction. | |
| 505 | 8 | |a 1.1. Approximating the ends1.2. Realizing ends on a Bers boundary; 1.3. Candidate approximates; 1.4. Plan of the paper; 1.5. Acknowledgments; 2. Cone-deformations; 2.1. The drilling theorem; 3. Grafting short geodesics; 3.1. Graftings as cone-manifolds.; 3.2. Simultaneous grafting; 4. Drilling and asymptotic isolation of ends; 4.1. Example; 4.2. Isolation of ends; 4.3. Realizing ends in Bers compactifications; 4.4. Binding realizations; 5. Incompressible ends; References; Les géodésiques fermées d'une variété hyperbolique en tant que nuds. | |
| 505 | 8 | |a Closed geodesics in a hyperbolic manifold, viewed as knots1. Introduction; 2. Les géodésiques courtes dans une variété hyperbolique homéo-morphe à S R; 3. Le cas des variétés à bord compressible; Références; Ending laminations in the Masur domain; 1. Introduction; 2. Preliminaries; 2.1. Compact cores; 2.2. Compression bodies; 2.3. Function groups; 2.4. Boundary groups; 2.5. Laminations on surfaces; 2.6. Pleated surfaces; 3. Laminations on the exterior boundary; 4. Compactness theorem; 5. Main results; References; Quasi-arcs in the limit set of a singly degenerate group with bounded geometry. | |
| 505 | 8 | |a 1. Introduction2. Preliminaries; 2.1. Notation; 2.2. Model manifolds; 3. Proof of theorems; 3.1. Proof of Theorem 1.3; 3.2. Proof of Theorem 1.2; 3.3. Proof of Theorem 1.1; 3.4. Uncountably many quasi-arcs; References; On hyperbolic and spherical volumes for knot and link cone-manifolds; 1. Introduction; 2. Trigonometrical identities for knots and links; 2.1. Cone-manifolds, complex distances and lengths; 2.2. Whitehead link cone-manifold; 2.3. The Borromean cone-manifold; 3. Explicit volume calculation; 3.1. The Schläfli formula; 3.2. Volume of the Whitehead link cone-manifold. | |
| 505 | 8 | |a 3.3. Volume of the Borromean rings cone-manifold. | |
| 520 | |a Collection of papers summarising the state of the art. Ideal for graduate students or established researchers. | ||
| 650 | 0 | |a Kleinian groups |v Congresses. | |
| 650 | 0 | |a Three-manifolds (Topology) |v Congresses. | |
| 650 | 0 | |a Geometry, Hyperbolic |v Congresses. | |
| 650 | 6 | |a Groupes de Klein |v Congrès. | |
| 650 | 6 | |a Variétés topologiques à 3 dimensions |v Congrès. | |
| 650 | 6 | |a Géométrie hyperbolique |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Geometry, Hyperbolic |2 fast | |
| 650 | 7 | |a Kleinian groups |2 fast | |
| 650 | 7 | |a Three-manifolds (Topology) |2 fast | |
| 655 | 0 | |a Electronic books. | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Komori, Yōhei, |d 1966- |1 https://id.oclc.org/worldcat/entity/E39PCjKBhhcPTXtH99bk8MTMWC | |
| 700 | 1 | |a Markovic, V. |q (Vladimir) |1 https://id.oclc.org/worldcat/entity/E39PBJfRxPyVXyPXBdXMVWpMfq |0 http://id.loc.gov/authorities/names/nb2003107749 | |
| 700 | 1 | |a Series, Caroline. |0 http://id.loc.gov/authorities/names/n90697973 | |
| 776 | 0 | 8 | |i Print version: |t Kleinian groups and hyperbolic 3-manifolds. |d Cambridge ; New York : Cambridge University Press, 2003 |z 0521540135 |w (DLC) 2004273945 |w (OCoLC)52828967 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 299. |0 http://id.loc.gov/authorities/names/n42015587 | |
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| contents | Cover; Series-title; Title; Copyright; Contents; Preface; Part I Hyperbolic 3-manifolds; Combinatorial and geometrical aspects of hyperbolic 3-manifolds; 1. Introduction; 1.1. Object of Study; 1.2. Kleinian surface groups; 1.3. Models and bounds; 1.4. Plan; 2. Curve complex and model manifold; 2.1. The complex of curves; 2.2. Model construction; 2.3. Geometry of the model; 3. From ending laminations to model manifold; 3.1. Background; 4. The quasiconvexity argument; 4.1. The bounded-curve projection; 4.2. Definition of Pi; 5. Quasiconvexity and projection bounds. 5.1. Relative bounds for subsurfaces5.2. Penetration in Margulis tubes; 5.3. Proof of the tube penetration theorem; 6. A priori length bounds and model map; 6.1. Proving the a priori bounds; 6.2. Constructing the Lipschitz map; 6.3. Consequences; References; Harmonic deformations of hyperbolic 3-manifolds; 1. Introduction; 2. Deformations of hyperbolic structures; 3. Infinitesimal harmonic deformations; 4. Effective Rigidity; 5. A quantitative hyperbolic Dehn surgery theorem; 6. Kleinian groups and boundary value theory; References; Cone-manifolds and the density conjecture; 1. Introduction. 1.1. Approximating the ends1.2. Realizing ends on a Bers boundary; 1.3. Candidate approximates; 1.4. Plan of the paper; 1.5. Acknowledgments; 2. Cone-deformations; 2.1. The drilling theorem; 3. Grafting short geodesics; 3.1. Graftings as cone-manifolds.; 3.2. Simultaneous grafting; 4. Drilling and asymptotic isolation of ends; 4.1. Example; 4.2. Isolation of ends; 4.3. Realizing ends in Bers compactifications; 4.4. Binding realizations; 5. Incompressible ends; References; Les géodésiques fermées d'une variété hyperbolique en tant que nuds. Closed geodesics in a hyperbolic manifold, viewed as knots1. Introduction; 2. Les géodésiques courtes dans une variété hyperbolique homéo-morphe à S R; 3. Le cas des variétés à bord compressible; Références; Ending laminations in the Masur domain; 1. Introduction; 2. Preliminaries; 2.1. Compact cores; 2.2. Compression bodies; 2.3. Function groups; 2.4. Boundary groups; 2.5. Laminations on surfaces; 2.6. Pleated surfaces; 3. Laminations on the exterior boundary; 4. Compactness theorem; 5. Main results; References; Quasi-arcs in the limit set of a singly degenerate group with bounded geometry. 1. Introduction2. Preliminaries; 2.1. Notation; 2.2. Model manifolds; 3. Proof of theorems; 3.1. Proof of Theorem 1.3; 3.2. Proof of Theorem 1.2; 3.3. Proof of Theorem 1.1; 3.4. Uncountably many quasi-arcs; References; On hyperbolic and spherical volumes for knot and link cone-manifolds; 1. Introduction; 2. Trigonometrical identities for knots and links; 2.1. Cone-manifolds, complex distances and lengths; 2.2. Whitehead link cone-manifold; 2.3. The Borromean cone-manifold; 3. Explicit volume calculation; 3.1. The Schläfli formula; 3.2. Volume of the Whitehead link cone-manifold. 3.3. Volume of the Borromean rings cone-manifold. |
| ctrlnum | (OCoLC)60326655 |
| dewey-full | 514/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.3 |
| dewey-search | 514/.3 |
| dewey-sort | 3514 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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Kleinian groups and boundary value theory; References; Cone-manifolds and the density conjecture; 1. Introduction.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">1.1. Approximating the ends1.2. Realizing ends on a Bers boundary; 1.3. Candidate approximates; 1.4. Plan of the paper; 1.5. Acknowledgments; 2. Cone-deformations; 2.1. The drilling theorem; 3. Grafting short geodesics; 3.1. Graftings as cone-manifolds.; 3.2. Simultaneous grafting; 4. Drilling and asymptotic isolation of ends; 4.1. Example; 4.2. Isolation of ends; 4.3. Realizing ends in Bers compactifications; 4.4. Binding realizations; 5. Incompressible ends; References; Les géodésiques fermées d'une variété hyperbolique en tant que nuds.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Closed geodesics in a hyperbolic manifold, viewed as knots1. Introduction; 2. Les géodésiques courtes dans une variété hyperbolique homéo-morphe à S R; 3. 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| genre | Electronic books. Conference papers and proceedings fast |
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| id | ZDB-4-EBA-ocm60326655 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:15:43Z |
| institution | BVB |
| isbn | 0511065647 9780511065644 9780511542817 051154281X 9780521540131 0521540135 9780511067778 0511067771 |
| language | English |
| oclc_num | 60326655 |
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| physical | 1 online resource (vii, 384 pages) : illustrations |
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| publishDate | 2003 |
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| spelling | Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 / edited by Y. Komori, V. Markovic, C. Series. Cambridge ; New York : Cambridge University Press, 2003. 1 online resource (vii, 384 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 299 Includes bibliographical references. Print version record. Cover; Series-title; Title; Copyright; Contents; Preface; Part I Hyperbolic 3-manifolds; Combinatorial and geometrical aspects of hyperbolic 3-manifolds; 1. Introduction; 1.1. Object of Study; 1.2. Kleinian surface groups; 1.3. Models and bounds; 1.4. Plan; 2. Curve complex and model manifold; 2.1. The complex of curves; 2.2. Model construction; 2.3. Geometry of the model; 3. From ending laminations to model manifold; 3.1. Background; 4. The quasiconvexity argument; 4.1. The bounded-curve projection; 4.2. Definition of Pi; 5. Quasiconvexity and projection bounds. 5.1. Relative bounds for subsurfaces5.2. Penetration in Margulis tubes; 5.3. Proof of the tube penetration theorem; 6. A priori length bounds and model map; 6.1. Proving the a priori bounds; 6.2. Constructing the Lipschitz map; 6.3. Consequences; References; Harmonic deformations of hyperbolic 3-manifolds; 1. Introduction; 2. Deformations of hyperbolic structures; 3. Infinitesimal harmonic deformations; 4. Effective Rigidity; 5. A quantitative hyperbolic Dehn surgery theorem; 6. Kleinian groups and boundary value theory; References; Cone-manifolds and the density conjecture; 1. Introduction. 1.1. Approximating the ends1.2. Realizing ends on a Bers boundary; 1.3. Candidate approximates; 1.4. Plan of the paper; 1.5. Acknowledgments; 2. Cone-deformations; 2.1. The drilling theorem; 3. Grafting short geodesics; 3.1. Graftings as cone-manifolds.; 3.2. Simultaneous grafting; 4. Drilling and asymptotic isolation of ends; 4.1. Example; 4.2. Isolation of ends; 4.3. Realizing ends in Bers compactifications; 4.4. Binding realizations; 5. Incompressible ends; References; Les géodésiques fermées d'une variété hyperbolique en tant que nuds. Closed geodesics in a hyperbolic manifold, viewed as knots1. Introduction; 2. Les géodésiques courtes dans une variété hyperbolique homéo-morphe à S R; 3. Le cas des variétés à bord compressible; Références; Ending laminations in the Masur domain; 1. Introduction; 2. Preliminaries; 2.1. Compact cores; 2.2. Compression bodies; 2.3. Function groups; 2.4. Boundary groups; 2.5. Laminations on surfaces; 2.6. Pleated surfaces; 3. Laminations on the exterior boundary; 4. Compactness theorem; 5. Main results; References; Quasi-arcs in the limit set of a singly degenerate group with bounded geometry. 1. Introduction2. Preliminaries; 2.1. Notation; 2.2. Model manifolds; 3. Proof of theorems; 3.1. Proof of Theorem 1.3; 3.2. Proof of Theorem 1.2; 3.3. Proof of Theorem 1.1; 3.4. Uncountably many quasi-arcs; References; On hyperbolic and spherical volumes for knot and link cone-manifolds; 1. Introduction; 2. Trigonometrical identities for knots and links; 2.1. Cone-manifolds, complex distances and lengths; 2.2. Whitehead link cone-manifold; 2.3. The Borromean cone-manifold; 3. Explicit volume calculation; 3.1. The Schläfli formula; 3.2. Volume of the Whitehead link cone-manifold. 3.3. Volume of the Borromean rings cone-manifold. Collection of papers summarising the state of the art. Ideal for graduate students or established researchers. Kleinian groups Congresses. Three-manifolds (Topology) Congresses. Geometry, Hyperbolic Congresses. Groupes de Klein Congrès. Variétés topologiques à 3 dimensions Congrès. Géométrie hyperbolique Congrès. MATHEMATICS Topology. bisacsh Geometry, Hyperbolic fast Kleinian groups fast Three-manifolds (Topology) fast Electronic books. Conference papers and proceedings fast Komori, Yōhei, 1966- https://id.oclc.org/worldcat/entity/E39PCjKBhhcPTXtH99bk8MTMWC Markovic, V. (Vladimir) https://id.oclc.org/worldcat/entity/E39PBJfRxPyVXyPXBdXMVWpMfq http://id.loc.gov/authorities/names/nb2003107749 Series, Caroline. http://id.loc.gov/authorities/names/n90697973 Print version: Kleinian groups and hyperbolic 3-manifolds. Cambridge ; New York : Cambridge University Press, 2003 0521540135 (DLC) 2004273945 (OCoLC)52828967 London Mathematical Society lecture note series ; 299. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120517 Volltext |
| spellingShingle | Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 / London Mathematical Society lecture note series ; Cover; Series-title; Title; Copyright; Contents; Preface; Part I Hyperbolic 3-manifolds; Combinatorial and geometrical aspects of hyperbolic 3-manifolds; 1. Introduction; 1.1. Object of Study; 1.2. Kleinian surface groups; 1.3. Models and bounds; 1.4. Plan; 2. Curve complex and model manifold; 2.1. The complex of curves; 2.2. Model construction; 2.3. Geometry of the model; 3. From ending laminations to model manifold; 3.1. Background; 4. The quasiconvexity argument; 4.1. The bounded-curve projection; 4.2. Definition of Pi; 5. Quasiconvexity and projection bounds. 5.1. Relative bounds for subsurfaces5.2. Penetration in Margulis tubes; 5.3. Proof of the tube penetration theorem; 6. A priori length bounds and model map; 6.1. Proving the a priori bounds; 6.2. Constructing the Lipschitz map; 6.3. Consequences; References; Harmonic deformations of hyperbolic 3-manifolds; 1. Introduction; 2. Deformations of hyperbolic structures; 3. Infinitesimal harmonic deformations; 4. Effective Rigidity; 5. A quantitative hyperbolic Dehn surgery theorem; 6. Kleinian groups and boundary value theory; References; Cone-manifolds and the density conjecture; 1. Introduction. 1.1. Approximating the ends1.2. Realizing ends on a Bers boundary; 1.3. Candidate approximates; 1.4. Plan of the paper; 1.5. Acknowledgments; 2. Cone-deformations; 2.1. The drilling theorem; 3. Grafting short geodesics; 3.1. Graftings as cone-manifolds.; 3.2. Simultaneous grafting; 4. Drilling and asymptotic isolation of ends; 4.1. Example; 4.2. Isolation of ends; 4.3. Realizing ends in Bers compactifications; 4.4. Binding realizations; 5. Incompressible ends; References; Les géodésiques fermées d'une variété hyperbolique en tant que nuds. Closed geodesics in a hyperbolic manifold, viewed as knots1. Introduction; 2. Les géodésiques courtes dans une variété hyperbolique homéo-morphe à S R; 3. Le cas des variétés à bord compressible; Références; Ending laminations in the Masur domain; 1. Introduction; 2. Preliminaries; 2.1. Compact cores; 2.2. Compression bodies; 2.3. Function groups; 2.4. Boundary groups; 2.5. Laminations on surfaces; 2.6. Pleated surfaces; 3. Laminations on the exterior boundary; 4. Compactness theorem; 5. Main results; References; Quasi-arcs in the limit set of a singly degenerate group with bounded geometry. 1. Introduction2. Preliminaries; 2.1. Notation; 2.2. Model manifolds; 3. Proof of theorems; 3.1. Proof of Theorem 1.3; 3.2. Proof of Theorem 1.2; 3.3. Proof of Theorem 1.1; 3.4. Uncountably many quasi-arcs; References; On hyperbolic and spherical volumes for knot and link cone-manifolds; 1. Introduction; 2. Trigonometrical identities for knots and links; 2.1. Cone-manifolds, complex distances and lengths; 2.2. Whitehead link cone-manifold; 2.3. The Borromean cone-manifold; 3. Explicit volume calculation; 3.1. The Schläfli formula; 3.2. Volume of the Whitehead link cone-manifold. 3.3. Volume of the Borromean rings cone-manifold. Kleinian groups Congresses. Three-manifolds (Topology) Congresses. Geometry, Hyperbolic Congresses. Groupes de Klein Congrès. Variétés topologiques à 3 dimensions Congrès. Géométrie hyperbolique Congrès. MATHEMATICS Topology. bisacsh Geometry, Hyperbolic fast Kleinian groups fast Three-manifolds (Topology) fast |
| title | Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 / |
| title_auth | Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 / |
| title_exact_search | Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 / |
| title_full | Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 / edited by Y. Komori, V. Markovic, C. Series. |
| title_fullStr | Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 / edited by Y. Komori, V. Markovic, C. Series. |
| title_full_unstemmed | Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 / edited by Y. Komori, V. Markovic, C. Series. |
| title_short | Kleinian groups and hyperbolic 3-manifolds : |
| title_sort | kleinian groups and hyperbolic 3 manifolds proceedings of the warwick workshop september 11 14 2001 |
| title_sub | proceedings of the Warwick Workshop, September 11-14, 2001 / |
| topic | Kleinian groups Congresses. Three-manifolds (Topology) Congresses. Geometry, Hyperbolic Congresses. Groupes de Klein Congrès. Variétés topologiques à 3 dimensions Congrès. Géométrie hyperbolique Congrès. MATHEMATICS Topology. bisacsh Geometry, Hyperbolic fast Kleinian groups fast Three-manifolds (Topology) fast |
| topic_facet | Kleinian groups Congresses. Three-manifolds (Topology) Congresses. Geometry, Hyperbolic Congresses. Groupes de Klein Congrès. Variétés topologiques à 3 dimensions Congrès. Géométrie hyperbolique Congrès. MATHEMATICS Topology. Geometry, Hyperbolic Kleinian groups Three-manifolds (Topology) Electronic books. Conference papers and proceedings |
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