Cargando…
Bordered Heegaard Floer homology /
The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2018]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1216. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1042567293 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 180703t20182018riua ob 001 0 eng d | ||
| 040 | |a GZM |b eng |e rda |e pn |c GZM |d UIU |d OCLCF |d YDX |d EBLCP |d CUY |d COD |d IDB |d COO |d LEAUB |d N$T |d OCLCQ |d OCLCA |d OCLCQ |d UKAHL |d OCLCQ |d VT2 |d OCLCQ |d K6U |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d S9M |d OCLCL | ||
| 066 | |c (S | ||
| 019 | |a 1262669381 | ||
| 020 | |a 1470447487 |q (online) | ||
| 020 | |a 9781470447489 |q (electronic bk.) | ||
| 020 | |z 9781470428884 |q (alk. paper) | ||
| 020 | |z 1470428881 |q (alk. paper) | ||
| 035 | |a (OCoLC)1042567293 |z (OCoLC)1262669381 | ||
| 050 | 4 | |a QA665 |b .L57 2018 | |
| 082 | 0 | 4 | |a 516.3/6 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Lipshitz, R. |q (Robert), |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjJymXQq4BRwGpyKmJYCcd | |
| 245 | 1 | 0 | |a Bordered Heegaard Floer homology / |c Robert Lipshitz, Peter S. Ozsvath, Dylan P. Thurston. |
| 264 | 1 | |a Providence, RI : |b American Mathematical Society, |c [2018] | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (viii, 279 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 Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 254, number 1216 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "July 2018, volume 254, number 1216 (fourth of 5 numbers)." | ||
| 500 | |a Keywords: Three-manifold topology, low-dimensional topology, Heegaard Floer homology, holomorphic curves, extended topological field theory. | ||
| 504 | |a Includes bibliographical references (pages 269-272) and index. | ||
| 505 | 0 | |6 880-01 |a Cover; Title page; Chapter 1. Introduction; 1.1. Background; 1.2. The bordered Floer homology package; 1.3. On gradings; 1.4. The case of three-manifolds with torus boundary; 1.5. Previous work; 1.6. Further developments; 1.7. Organization; Acknowledgments; Chapter 2. \textalt{\Ainf}A-infty structures; 2.1. \textalt{\Ainf}A-infty algebras and modules; 2.2. \textalt{\Ainf}A-infty tensor products; 2.3. Type \textalt{ }D structures; 2.4. Another model for the \textalt{\Ainf}A-infty tensor product; 2.5. Gradings by non-commutative groups | |
| 505 | 8 | |a 5.3. Holomorphic curves in \textalt{\RR× ×[0,1]×\RR} R × Z × [0,1] × R5.4. Compactifications via holomorphic combs; 5.5. Gluing results for holomorphic combs; 5.6. Degenerations of holomorphic curves; 5.7. More on expected dimensions; Chapter 6. Type \textalt{ }D modules; 6.1. Definition of the type \textalt{ }D module; 6.2. \textalt{\bdy²=0}Boundary-squared is zero; 6.3. Invariance; 6.4. Twisted coefficients; Chapter 7. Type \textalt{ }A modules; 7.1. Definition of the type \textalt{ }A module; 7.2. Compatibility with algebra; 7.3. Invariance; 7.4. Twisted coefficients | |
| 505 | 8 | |a Chapter 8. Pairing theorem via nice diagramsChapter 9. Pairing theorem via time dilation; 9.1. Moduli of matched pairs; 9.2. Dilating time; 9.3. Dilating to infinity; 9.4. Completion of the proof of the pairing theorem; 9.5. A twisted pairing theorem; 9.6. An example; Chapter 10. Gradings; 10.1. Algebra review; 10.2. Domains; 10.3. Type \textalt{ }A structures; 10.4. Type \textalt{ }D structures; 10.5. Refined gradings; 10.6. Tensor product; Chapter 11. Bordered manifolds with torus boundary; 11.1. Torus algebra; 11.2. Surgery exact triangle; 11.3. Preliminaries on knot Floer homology | |
| 505 | 8 | |a 11.4. From \textalt{\CFDa}CFDˆ to \textalt{\HFKm}HFK-11.5. From \textalt{\CFKm}CFK- to \textalt{\CFDa}CFDˆ: Statement of results; 11.6. Generalized coefficient maps and boundary degenerations; 11.7. From \textalt{\CFKm}CFK- to \textalt{\CFDa}CFDˆ: Basis-free version; 11.8. Proof of Theorem 11.26; 11.9. Satellites revisited; Appendix A. Bimodules and change of framing; A.1. Statement of results; A.2. Sketch of the construction; A.3. Computations for \textalt{3}3-manifolds with torus boundary; A.4. From \textalt{\HFK}HFK to \textalt{\CFDa}CFDˆ for arbitrary integral framings; Bibliography | |
| 520 | |a The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an \mathcal A_\infty module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the \mathcal A_\infty tensor product of the type D module of one piece and the type A module from th. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Floer homology. | |
| 650 | 0 | |a Three-manifolds (Topology) | |
| 650 | 0 | |a Topological manifolds. | |
| 650 | 0 | |a Symplectic geometry. | |
| 650 | 6 | |a Homologie de Floer. | |
| 650 | 6 | |a Variétés topologiques à 3 dimensions. | |
| 650 | 6 | |a Variétés topologiques. | |
| 650 | 6 | |a Géométrie symplectique. | |
| 650 | 7 | |a Variedades topológicas |2 embne | |
| 650 | 7 | |a Floer homology |2 fast | |
| 650 | 7 | |a Symplectic geometry |2 fast | |
| 650 | 7 | |a Three-manifolds (Topology) |2 fast | |
| 650 | 7 | |a Topological manifolds |2 fast | |
| 700 | 1 | |a Ozsváth, Peter Steven, |d 1967- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJmpff3Myjrdq8V4Ww97HC | |
| 700 | 1 | |a Thurston, Dylan P., |d 1972- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjrQ8Vf3yJqB8WWqd7p44m | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Bordered Heegaard Floer homology (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGmTTTDw9DKmHr3QhGrdHC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Lipshitz, R. (Robert). |t Bordered Heegaard Floer homology |z 9781470428884 |w (DLC) 2018029366 |w (OCoLC)1031562142 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1216. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5501883 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a Chapter 3. The algebra associated to a pointed matched circle3.1. The strands algebra \textalt{\Alg(,)}A(n, k); 3.2. Matched circles and their algebras; 3.3. Gradings; Chapter 4. Bordered Heegaard diagrams; 4.1. Bordered Heegaard diagrams: definition, existence, and uniqueness; 4.2. Examples of bordered Heegaard diagrams; 4.3. Generators, homology classes and \textalt{\spin^{ }}spin-c structures; 4.4. Admissibility criteria; 4.5. Closed diagrams; Chapter 5. Moduli spaces; 5.1. Overview of the moduli spaces; 5.2. Holomorphic curves in \textalt{Σ×[0,1]×\RR}Sigma × [0,1] × R | |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445186 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5501883 | ||
| 938 | |a YBP Library Services |b YANK |n 15675529 | ||
| 938 | |a EBSCOhost |b EBSC |n 1879715 | ||
| 994 | |a 92 |b IZTAP | ||