Heegaard Floer homology for manifolds with torus boundary: properties and examples
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Abstract
This is a companion paper to earlier work of the authors, which interprets
the Heegaard Floer homology for a manifold with torus boundary in terms of
immersed curves in a punctured torus. We prove a variety of properties of this
invariant, paying particular attention to its relation to knot Floer homology,
the Thurston norm, and the Turaev torsion. We also give a geometric description
of the gradings package from bordered Heegaard Floer homology and establish a
symmetry under spin
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1460-244X