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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    Order before 4pm tomorrow for delivery by Tue 23 Dec 2025.

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

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      View other formats and editions of Cornered Heegaard Floer Homology by Christopher L. Douglas

      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/2020 12:00:00 AM
      ISBN13: 9781470437718, 978-1470437718
      ISBN10: 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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