Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane:
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2019]
|
| Series: | Memoirs of the American Mathematical Society
volume 259, number 1249 (sixth of 8 numbers) |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | vii, 78 Seiten Illustrationen |
| ISBN: | 9781470436148 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV046056667 | ||
| 003 | DE-604 | ||
| 005 | 20210921 | ||
| 007 | t | ||
| 008 | 190719s2019 a||| |||| 00||| eng d | ||
| 020 | |a 9781470436148 |9 978-1-4704-3614-8 | ||
| 035 | |a (OCoLC)1110068357 | ||
| 035 | |a (DE-599)BVBBV046056667 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 |a DE-355 |a DE-29T |a DE-11 | ||
| 084 | |a 22D40 |2 msc | ||
| 084 | |a 57M05 |2 msc | ||
| 100 | 1 | |a Goldman, William M. |d 1955- |0 (DE-588)1089595271 |4 aut | |
| 245 | 1 | 0 | |a Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane |c William Goldman ; Greg McShane ; George Stantchev ; Ser Peow Tan |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2019] | |
| 264 | 4 | |c © 2019 | |
| 300 | |a vii, 78 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 259, number 1249 (sixth of 8 numbers) | |
| 650 | 0 | 7 | |a Freie Gruppe |0 (DE-588)4155283-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Automorphismus |0 (DE-588)4143709-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hyperbolischer Raum |0 (DE-588)4161046-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Freie Gruppe |0 (DE-588)4155283-0 |D s |
| 689 | 0 | 1 | |a Automorphismus |0 (DE-588)4143709-3 |D s |
| 689 | 0 | 2 | |a Hyperbolischer Raum |0 (DE-588)4161046-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a McShane, Greg |d 1966- |0 (DE-588)1159219109 |4 aut | |
| 700 | 1 | |a Stantchev, George |4 aut | |
| 700 | 1 | |a Tan, Peow Ser |e Verfasser |4 aut | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v volume 259, number 1249 (sixth of 8 numbers) |w (DE-604)BV008000141 |9 1249 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031438065&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-031438065 | ||
Record in the Search Index
| _version_ | 1804180328393211904 |
|---|---|
| adam_text | Contents List of Figures vii Chapter 1. Introduction 1.1. Fricke spaces and Fricke orbits 1.2. The orientation-preserving case 1.3. The Main Theorem Acknowledgements Notation and terminology 1 2 4 5 6 6 Chapter 2. The rank two free group and its automorphisms 2.1. The modular group and automorphisms 2.2. The tree of superbases 2.3. The tricoloring and the planar embedding 2.4. Paths and Alternating Geodesics 2.5. Relation to the one-holed torus 2.6. Effect of a {±l}-character 9 9 11 13 15 16 16 Chapter 3. Character varieties and their automorphisms 3.1. The deformation space 3.2. Sign-changes 3.3. Action of automorphisms 3.4. Real forms of the character variety 3.5. Real and imaginary characters 3.6. Invariants of the action 19 19 20 21 22 23 24 Chapter 4. Topology of the imaginary commutator trace 4.1. Preliminaries 4.2. Projection when к —2 4.3. The invariant area form 4.4. The level set for к —2 25 25 26 28 29 Chapter 5. Generalized Fricke spaces 5.1. Geometric structures on the two-holed cross-surface 5.2. Geometric structures on the one-holed Klein bottle 5.3. Lines on the Markoff surface 31 31 33 34 Chapter 6. Bowditch theory 6.1. The trace labeling associated to a character 6.2. The flow associated to a character 6.3. Exceptional characters 6.4. The Fork Lemma 37 37 38 40 41 ІІІ
iv CONTENTS 6.5. 6.6. Alternating geodesics Indecisive edges and orthogonality Chapter 7. Imaginary trace labelings 7.1. Well-directed trees 7.2. {±l}֊characters on րշ 7.3. Positive and negative vertices 43 46 49 49 50 51 к к Chapter 8. Imaginary characters with 2 8.1. Alternating geodesics when 2. 8.2. The Bowditch set 8.3. Planar projection of the Bowditch set 8.4. Density of the Bowditch set 53 53 55 56 60 к 2. 63 63 64 65 67 Chapter 9. Imaginary characters with 9.1. Existence of elliptics 9.2. Alternating geodesics for 2 9.3. Descending Paths 9.4. Ergodicity к Chapter 10. Bibliography Imaginary characters with к = 2. 71 77
|
| any_adam_object | 1 |
| author | Goldman, William M. 1955- McShane, Greg 1966- Stantchev, George Tan, Peow Ser |
| author_GND | (DE-588)1089595271 (DE-588)1159219109 |
| author_facet | Goldman, William M. 1955- McShane, Greg 1966- Stantchev, George Tan, Peow Ser |
| author_role | aut aut aut aut |
| author_sort | Goldman, William M. 1955- |
| author_variant | w m g wm wmg g m gm g s gs p s t ps pst |
| building | Verbundindex |
| bvnumber | BV046056667 |
| ctrlnum | (OCoLC)1110068357 (DE-599)BVBBV046056667 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02038nam a2200445 cb4500</leader><controlfield tag="001">BV046056667</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210921 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">190719s2019 a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781470436148</subfield><subfield code="9">978-1-4704-3614-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1110068357</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV046056667</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">22D40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">57M05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Goldman, William M.</subfield><subfield code="d">1955-</subfield><subfield code="0">(DE-588)1089595271</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane</subfield><subfield code="c">William Goldman ; Greg McShane ; George Stantchev ; Ser Peow Tan</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">[2019]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2019</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">vii, 78 Seiten</subfield><subfield code="b">Illustrationen</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">volume 259, number 1249 (sixth of 8 numbers)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Freie Gruppe</subfield><subfield code="0">(DE-588)4155283-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Automorphismus</subfield><subfield code="0">(DE-588)4143709-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hyperbolischer Raum</subfield><subfield code="0">(DE-588)4161046-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Freie Gruppe</subfield><subfield code="0">(DE-588)4155283-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Automorphismus</subfield><subfield code="0">(DE-588)4143709-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Hyperbolischer Raum</subfield><subfield code="0">(DE-588)4161046-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">McShane, Greg</subfield><subfield code="d">1966-</subfield><subfield code="0">(DE-588)1159219109</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Stantchev, George</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tan, Peow Ser</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">volume 259, number 1249 (sixth of 8 numbers)</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">1249</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031438065&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-031438065</subfield></datafield></record></collection> |
| id | DE-604.BV046056667 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:34:01Z |
| institution | BVB |
| isbn | 9781470436148 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031438065 |
| oclc_num | 1110068357 |
| open_access_boolean | |
| owner | DE-83 DE-355 DE-BY-UBR DE-29T DE-11 |
| owner_facet | DE-83 DE-355 DE-BY-UBR DE-29T DE-11 |
| physical | vii, 78 Seiten Illustrationen |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Goldman, William M. 1955- (DE-588)1089595271 aut Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane William Goldman ; Greg McShane ; George Stantchev ; Ser Peow Tan Providence, Rhode Island American Mathematical Society [2019] © 2019 vii, 78 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 259, number 1249 (sixth of 8 numbers) Freie Gruppe (DE-588)4155283-0 gnd rswk-swf Automorphismus (DE-588)4143709-3 gnd rswk-swf Hyperbolischer Raum (DE-588)4161046-5 gnd rswk-swf Freie Gruppe (DE-588)4155283-0 s Automorphismus (DE-588)4143709-3 s Hyperbolischer Raum (DE-588)4161046-5 s DE-604 McShane, Greg 1966- (DE-588)1159219109 aut Stantchev, George aut Tan, Peow Ser Verfasser aut Memoirs of the American Mathematical Society volume 259, number 1249 (sixth of 8 numbers) (DE-604)BV008000141 1249 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031438065&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goldman, William M. 1955- McShane, Greg 1966- Stantchev, George Tan, Peow Ser Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane Memoirs of the American Mathematical Society Freie Gruppe (DE-588)4155283-0 gnd Automorphismus (DE-588)4143709-3 gnd Hyperbolischer Raum (DE-588)4161046-5 gnd |
| subject_GND | (DE-588)4155283-0 (DE-588)4143709-3 (DE-588)4161046-5 |
| title | Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane |
| title_auth | Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane |
| title_exact_search | Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane |
| title_full | Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane William Goldman ; Greg McShane ; George Stantchev ; Ser Peow Tan |
| title_fullStr | Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane William Goldman ; Greg McShane ; George Stantchev ; Ser Peow Tan |
| title_full_unstemmed | Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane William Goldman ; Greg McShane ; George Stantchev ; Ser Peow Tan |
| title_short | Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane |
| title_sort | automorphisms of two generator free groups and spaces of isometric actions on the hyperbolic plane |
| topic | Freie Gruppe (DE-588)4155283-0 gnd Automorphismus (DE-588)4143709-3 gnd Hyperbolischer Raum (DE-588)4161046-5 gnd |
| topic_facet | Freie Gruppe Automorphismus Hyperbolischer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031438065&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT goldmanwilliamm automorphismsoftwogeneratorfreegroupsandspacesofisometricactionsonthehyperbolicplane AT mcshanegreg automorphismsoftwogeneratorfreegroupsandspacesofisometricactionsonthehyperbolicplane AT stantchevgeorge automorphismsoftwogeneratorfreegroupsandspacesofisometricactionsonthehyperbolicplane AT tanpeowser automorphismsoftwogeneratorfreegroupsandspacesofisometricactionsonthehyperbolicplane |