Bordered Heegaard Floer homology / Robert Lipshitz, Peter S. Ozsvath, Dylan P. Thurston.

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...

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Bibliographic Details
Main Authors: Lipshitz, R. (Robert) (Author), Ozsváth, Peter Steven, 1967- (Author), Thurston, Dylan P., 1972- (Author)
Format: eBook
Language:English
Published: Providence, RI : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1216.
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Online Access:Click for online access
Description
Summary: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.
Item Description:"July 2018, volume 254, number 1216 (fourth of 5 numbers)."
Keywords: Three-manifold topology, low-dimensional topology, Heegaard Floer homology, holomorphic curves, extended topological field theory.
Physical Description:1 online resource (viii, 279 pages) : illustrations
Bibliography:Includes bibliographical references (pages 269-272) and index.
ISBN:1470447487
9781470447489
ISSN:0065-9266 ;
Source of Description, Etc. Note:Print version record.