Cornered Heegaard Floer Homology

Author:   Christopher L. Douglas ,  Robert Lipshitz ,  Ciprian Manolescu
Publisher:   American Mathematical Society
ISBN:  

9781470437718


Pages:   113
Publication Date:   30 June 2020
Format:   Paperback
Availability:   In Print   Availability explained
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Cornered Heegaard Floer Homology


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Overview

Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.

Full Product Details

Author:   Christopher L. Douglas ,  Robert Lipshitz ,  Ciprian Manolescu
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.230kg
ISBN:  

9781470437718


ISBN 10:   1470437716
Pages:   113
Publication Date:   30 June 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction Some abstract 2-algebra More 2-algebra: bending and smoothing Some homological algebra of 2-modules The algebras and algebra-modules The cornering module-2-modules The trimodules $\mathsf{T}_{DDD}$ and $\mathsf{T}_{DDA}$ Cornered 2-modules for cornered Heegaard diagrams Gradings Practical computations The nilCoxeter planar algebra Bibliography.

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Author Information

Christopher L. Douglas, University of Oxford, United Kingdom. Robert Lipshitz, University of North Carolina, Chapel Hill. Ciprian Manolescu, University of California, Los Angeles.

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