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Cornered Heegaard Floer Homology

Christopher L. Douglas, Robert Lipshitz, Ciprian Manolescu (Autoren)

Buch | Softcover

113 Seiten

2020
American Mathematical Society (Verlag)
978-1-4704-3771-8 (ISBN)

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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.

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

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.

Erscheinungsdatum	31.12.2019
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	230 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-3771-6 / 1470437716
ISBN-13	978-1-4704-3771-8 / 9781470437718
Zustand	Neuware