Heegaard Floer homology for manifolds with torus boundary: properties and examples
@article{Hanselman2018HeegaardFH,
title={Heegaard Floer homology for manifolds with torus boundary: properties and examples},
author={Jonathan Hanselman and Jacob Rasmussen and Liam Watson},
journal={arXiv: Geometric Topology},
year={2018}
}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$^c…
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