Surgery on Contact 3-Manifolds and Stein Surfaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004
|
| Schriftenreihe: | Bolyai Society Mathematical Studies
13 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Surgery is the most effective way of constructing manifolds. This is especially true in dimensions 3 and 4, where Kirby calculus provides a method for manipulating surgery diagrams. The groundbreaking results of Donaldson (on Lefschetz fibrations) and Giroux (on open book decompositions) now allow one to incorporate analytic structures into these diagrams: symplectic or Stein structures in the 4-dimensional case, contact structures in the 3-dimensional situation. This volume gives an introduction to the surgery techniques adapted to these additional structures. The necessary topological background on Lefschetz fibrations and open book decompositions is developed in the book. Also included are rapid introductions to the basics and applications of Seiberg--Witten and Heegaard Floer theories |
| Beschreibung: | 1 Online-Ressource (II, 282 p) |
| ISBN: | 9783662101674 9783642061844 |
| ISSN: | 1217-4696 |
| DOI: | 10.1007/978-3-662-10167-4 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-10167-4 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662101674 9783642061844 |
| issn | 1217-4696 |
| language | English |
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| spelling | Ozbagci, Burak Verfasser aut Surgery on Contact 3-Manifolds and Stein Surfaces by Burak Ozbagci, András I. Stipsicz Berlin, Heidelberg Springer Berlin Heidelberg 2004 1 Online-Ressource (II, 282 p) txt rdacontent c rdamedia cr rdacarrier Bolyai Society Mathematical Studies 13 1217-4696 Surgery is the most effective way of constructing manifolds. This is especially true in dimensions 3 and 4, where Kirby calculus provides a method for manipulating surgery diagrams. The groundbreaking results of Donaldson (on Lefschetz fibrations) and Giroux (on open book decompositions) now allow one to incorporate analytic structures into these diagrams: symplectic or Stein structures in the 4-dimensional case, contact structures in the 3-dimensional situation. This volume gives an introduction to the surgery techniques adapted to these additional structures. The necessary topological background on Lefschetz fibrations and open book decompositions is developed in the book. Also included are rapid introductions to the basics and applications of Seiberg--Witten and Heegaard Floer theories Mathematics Combinatorics Geometry Topology Mathematik Kontaktmannigfaltigkeit (DE-588)4669522-9 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd rswk-swf Steiner-Fläche (DE-588)4332777-1 gnd rswk-swf Chirurgie Mathematik (DE-588)4200269-2 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 s Kontaktmannigfaltigkeit (DE-588)4669522-9 s Symplektische Mannigfaltigkeit (DE-588)4290704-4 s Chirurgie Mathematik (DE-588)4200269-2 s Steiner-Fläche (DE-588)4332777-1 s 1\p DE-604 Stipsicz, András I. Sonstige oth https://doi.org/10.1007/978-3-662-10167-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ozbagci, Burak Surgery on Contact 3-Manifolds and Stein Surfaces Mathematics Combinatorics Geometry Topology Mathematik Kontaktmannigfaltigkeit (DE-588)4669522-9 gnd Differentialtopologie (DE-588)4012255-4 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Steiner-Fläche (DE-588)4332777-1 gnd Chirurgie Mathematik (DE-588)4200269-2 gnd |
| subject_GND | (DE-588)4669522-9 (DE-588)4012255-4 (DE-588)4290704-4 (DE-588)4332777-1 (DE-588)4200269-2 |
| title | Surgery on Contact 3-Manifolds and Stein Surfaces |
| title_auth | Surgery on Contact 3-Manifolds and Stein Surfaces |
| title_exact_search | Surgery on Contact 3-Manifolds and Stein Surfaces |
| title_full | Surgery on Contact 3-Manifolds and Stein Surfaces by Burak Ozbagci, András I. Stipsicz |
| title_fullStr | Surgery on Contact 3-Manifolds and Stein Surfaces by Burak Ozbagci, András I. Stipsicz |
| title_full_unstemmed | Surgery on Contact 3-Manifolds and Stein Surfaces by Burak Ozbagci, András I. Stipsicz |
| title_short | Surgery on Contact 3-Manifolds and Stein Surfaces |
| title_sort | surgery on contact 3 manifolds and stein surfaces |
| topic | Mathematics Combinatorics Geometry Topology Mathematik Kontaktmannigfaltigkeit (DE-588)4669522-9 gnd Differentialtopologie (DE-588)4012255-4 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Steiner-Fläche (DE-588)4332777-1 gnd Chirurgie Mathematik (DE-588)4200269-2 gnd |
| topic_facet | Mathematics Combinatorics Geometry Topology Mathematik Kontaktmannigfaltigkeit Differentialtopologie Symplektische Mannigfaltigkeit Steiner-Fläche Chirurgie Mathematik |
| url | https://doi.org/10.1007/978-3-662-10167-4 |
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