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2016 Bordered Heegaard Floer homology and graph manifolds
Jonathan Hanselman
Algebr. Geom. Topol. 16(6): 3103-3166 (2016). DOI: 10.2140/agt.2016.16.3103

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 HF̂ of any graph manifold.

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Jonathan Hanselman. "Bordered Heegaard Floer homology and graph manifolds." Algebr. Geom. Topol. 16 (6) 3103 - 3166, 2016. https://doi.org/10.2140/agt.2016.16.3103

Information

Received: 22 November 2013; Revised: 12 January 2016; Accepted: 27 February 2016; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1364.57012
MathSciNet: MR3584255
Digital Object Identifier: 10.2140/agt.2016.16.3103

Subjects:
Primary: 57M27, 57R58

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.16 • No. 6 • 2016
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