عنوان
پدید آورنده
موضوع
رده
QA665 .L57 2018
QA665
.
L57
2018
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
1470447487
(Number (ISBN
9781470447489
Erroneous ISBN
1470428881
Erroneous ISBN
9781470428884
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Bordered Heegaard Floer homology /
General Material Designation
[Book]
First Statement of Responsibility
Robert Lipshitz, Peter S. Ozsvath, Dylan P. Thurston.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Providence, RI :
Name of Publisher, Distributor, etc.
American Mathematical Society,
Date of Publication, Distribution, etc.
[2018]
Date of Publication, Distribution, etc.
©2018
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (viii, 279 pages) :
Other Physical Details
illustrations
SERIES
Series Title
Memoirs of the American Mathematical Society,
Volume Designation
volume 254, number 1216
ISSN of Series
0065-9266 ;
GENERAL NOTES
Text of Note
"July 2018, volume 254, number 1216 (fourth of 5 numbers)."
Text of Note
Keywords: Three-manifold topology, low-dimensional topology, Heegaard Floer homology, holomorphic curves, extended topological field theory.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 269-272) and index.
CONTENTS NOTE
Text of Note
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
Text of Note
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
Text of Note
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
Text of Note
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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SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
Title
Bordered Heegaard Floer homology
International Standard Book Number
9781470428884
TOPICAL NAME USED AS SUBJECT
Floer homology.
Symplectic geometry.
Three-manifolds (Topology)
Topological manifolds.
Floer homology.
Symplectic geometry.
Three-manifolds (Topology)
Topological manifolds.
DEWEY DECIMAL CLASSIFICATION
Number
516
.
3/6
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA665
Book number
.
L57
2018
PERSONAL NAME - PRIMARY RESPONSIBILITY
Lipshitz, R., (Robert)
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Ozsváth, Peter Steven,1967-
Thurston, Dylan P.,1972-
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
American Mathematical Society,publisher.
ORIGINATING SOURCE
Date of Transaction
20200823025734.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
