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180703t20182018riua ob 001 0 eng d |
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|b eng
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|e pn
|c GZM
|d UIU
|d OCLCF
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|a 1262669381
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|a 1470447487
|q (online)
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|a 9781470447489
|q (electronic bk.)
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|z 9781470428884
|q (alk. paper)
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|z 1470428881
|q (alk. paper)
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|a (OCoLC)1042567293
|z (OCoLC)1262669381
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|a QA665
|b .L57 2018
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|a HCDD
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1 |
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|a Lipshitz, R.
|q (Robert),
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjJymXQq4BRwGpyKmJYCcd
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|a Bordered Heegaard Floer homology /
|c Robert Lipshitz, Peter S. Ozsvath, Dylan P. Thurston.
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|a Providence, RI :
|b American Mathematical Society,
|c [2018]
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|c ©2018
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| 300 |
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|a 1 online resource (viii, 279 pages) :
|b illustrations
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v volume 254, number 1216
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|a Print version record.
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|a "July 2018, volume 254, number 1216 (fourth of 5 numbers)."
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|a Keywords: Three-manifold topology, low-dimensional topology, Heegaard Floer homology, holomorphic curves, extended topological field theory.
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|a Includes bibliographical references (pages 269-272) and index.
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|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
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|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
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|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
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|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
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|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.
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| 650 |
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|a Floer homology.
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| 650 |
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|a Three-manifolds (Topology)
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| 650 |
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|a Topological manifolds.
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| 650 |
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|a Symplectic geometry.
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| 650 |
|
7 |
|a Variedades topológicas
|2 embne
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| 650 |
|
7 |
|a Floer homology
|2 fast
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| 650 |
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7 |
|a Symplectic geometry
|2 fast
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| 650 |
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7 |
|a Three-manifolds (Topology)
|2 fast
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| 650 |
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7 |
|a Topological manifolds
|2 fast
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| 700 |
1 |
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|a Ozsváth, Peter Steven,
|d 1967-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PBJmpff3Myjrdq8V4Ww97HC
|
| 700 |
1 |
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|a Thurston, Dylan P.,
|d 1972-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjrQ8Vf3yJqB8WWqd7p44m
|
| 710 |
2 |
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|a American Mathematical Society,
|e publisher.
|
| 758 |
|
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|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.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=5501883
|y Click for online access
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| 880 |
8 |
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|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
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
|