Cornered Heegaard Floer homology
著者
書誌事項
Cornered Heegaard Floer homology
（Memoirs of the American Mathematical Society, no. 1266）
American Mathematical Society, c2019
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注記
"November 2019, volume 262, number 1266 (third of 7 numbers)"
Includes bibliographical reference (p. 111)
内容説明・目次
内容説明
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.
目次
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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