Bordered Heegaard Floer homology and graph manifolds

Jonathan Hanselman

doi:10.2140/agt.2016.16.3103

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arXiv · 1310.6696

Bordered Heegaard Floer homology and graph manifolds

Jonathan Hanselman

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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 S^1 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 HF-hat of any graph manifold.

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Jonathan Hanselman. 2013-10-24. Bordered Heegaard Floer homology and graph manifolds. https://doi.org/10.2140/agt.2016.16.3103

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