Bordered Heegaard Floer homology and graph manifolds

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Abstract

We perform two explicit computations of bordered Heegaard Floer invariants. The first is the type D trimodule associated to the trivial S1–bundle over the pair of pants P. The second is a bimodule that is necessary for self-gluing when two torus boundary components of a bordered manifold are glued to each other. Using the results of these two computations, we describe an algorithm for computing (formula presented) of any graph manifold.

Original languageEnglish (US)
Pages (from-to)3103-3166
Number of pages64
JournalAlgebraic and Geometric Topology
Volume16
Issue number6
DOIs
StatePublished - Dec 15 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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