Geodesic
Bordered Heegaard Floer homology and graph manifolds
Hanselman, Jonathan1
1Department of Mathematics, University of Texas at Austin, 1 University Station, C1200, Austin, TX 78712, United States
Algebraic and Geometric Topology, Tome 16 (2016) no. 6, pp. 3103-3166
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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.

DOI : 10.2140/agt.2016.16.3103
Classification : 57M27, 57R58
Keywords: Heegaard Floer homology, bordered Floer homology, graph manifolds

Hanselman, Jonathan  1

1 Department of Mathematics, University of Texas at Austin, 1 University Station, C1200, Austin, TX 78712, United States 
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Hanselman, Jonathan. Bordered Heegaard Floer homology and graph manifolds. Algebraic and Geometric Topology, Tome 16 (2016) no. 6, pp. 3103-3166. doi: 10.2140/agt.2016.16.3103

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