Description

Book Synopsis
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.

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.

    Cornered Heegaard Floer Homology

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      A Paperback by Christopher L. Douglas, Robert Lipshitz, Ciprian Manolescu

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        Book details

        Publisher American Mathematical Society
        Published 6/30/2020 12:00:00 AM
        ISBN-13 9781470437718
        978-1470437718
        ISBN-10 1470437716
        Also in:
        Topology

        Description

        Book Synopsis
        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.

        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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