Three-dimensional link theory and invariants of plane curve singularities:
This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those wh...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[1985]
|
| Series: | Annals of Mathematics Studies
number 110 |
| Subjects: | |
| Online Access: | Volltext |
| Summary: | This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed May 30, 2016) |
| Physical Description: | 1 online resource |
| ISBN: | 9781400881925 9780691083810 |
| DOI: | 10.1515/9781400881925 |
Staff View
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| 520 | |a This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms | ||
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| author | Eisenbud, David 1947- Neumann, Walter D. 1946-2024 |
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| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400881925 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2025-05-08T12:00:36Z |
| institution | BVB |
| isbn | 9781400881925 9780691083810 |
| language | English |
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| spelling | Eisenbud, David 1947- (DE-588)139999671 aut Three-dimensional link theory and invariants of plane curve singularities David Eisenbud, Walter D. Neumann Princeton, NJ Princeton University Press [1985] © 1985 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 110 Description based on online resource; title from PDF title page (publisher's Web site, viewed May 30, 2016) This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms In English Curves, Plane Invariants Link theory Singularities (Mathematics) Ebene Kurve (DE-588)4150970-5 gnd rswk-swf Dimension 3 (DE-588)4321722-9 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Verschlingung (DE-588)4191540-9 gnd rswk-swf Kante (DE-588)4220665-0 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Invariante (DE-588)4128781-2 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Dimension 3 (DE-588)4321722-9 s Algebraische Geometrie (DE-588)4001161-6 s 1\p DE-604 Ebene Kurve (DE-588)4150970-5 s Singularität Mathematik (DE-588)4077459-4 s Invariante (DE-588)4128781-2 s 2\p DE-604 Verschlingung (DE-588)4191540-9 s 3\p DE-604 Kante (DE-588)4220665-0 s 4\p DE-604 Neumann, Walter D. 1946-2024 (DE-588)174097956 aut Erscheint auch als Druck-Ausgabe 978-0-691-08381-0 Annals of Mathematics Studies number 110 (DE-604)BV040389493 110 https://doi.org/10.1515/9781400881925?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Eisenbud, David 1947- Neumann, Walter D. 1946-2024 Three-dimensional link theory and invariants of plane curve singularities Annals of Mathematics Studies Curves, Plane Invariants Link theory Singularities (Mathematics) Ebene Kurve (DE-588)4150970-5 gnd Dimension 3 (DE-588)4321722-9 gnd Singularität Mathematik (DE-588)4077459-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Verschlingung (DE-588)4191540-9 gnd Kante (DE-588)4220665-0 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Invariante (DE-588)4128781-2 gnd |
| subject_GND | (DE-588)4150970-5 (DE-588)4321722-9 (DE-588)4077459-4 (DE-588)4037379-4 (DE-588)4191540-9 (DE-588)4220665-0 (DE-588)4001161-6 (DE-588)4128781-2 |
| title | Three-dimensional link theory and invariants of plane curve singularities |
| title_auth | Three-dimensional link theory and invariants of plane curve singularities |
| title_exact_search | Three-dimensional link theory and invariants of plane curve singularities |
| title_full | Three-dimensional link theory and invariants of plane curve singularities David Eisenbud, Walter D. Neumann |
| title_fullStr | Three-dimensional link theory and invariants of plane curve singularities David Eisenbud, Walter D. Neumann |
| title_full_unstemmed | Three-dimensional link theory and invariants of plane curve singularities David Eisenbud, Walter D. Neumann |
| title_short | Three-dimensional link theory and invariants of plane curve singularities |
| title_sort | three dimensional link theory and invariants of plane curve singularities |
| topic | Curves, Plane Invariants Link theory Singularities (Mathematics) Ebene Kurve (DE-588)4150970-5 gnd Dimension 3 (DE-588)4321722-9 gnd Singularität Mathematik (DE-588)4077459-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Verschlingung (DE-588)4191540-9 gnd Kante (DE-588)4220665-0 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Invariante (DE-588)4128781-2 gnd |
| topic_facet | Curves, Plane Invariants Link theory Singularities (Mathematics) Ebene Kurve Dimension 3 Singularität Mathematik Mannigfaltigkeit Verschlingung Kante Algebraische Geometrie Invariante |
| url | https://doi.org/10.1515/9781400881925?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT eisenbuddavid threedimensionallinktheoryandinvariantsofplanecurvesingularities AT neumannwalterd threedimensionallinktheoryandinvariantsofplanecurvesingularities |