A spanning tree model for the Heegaard Floer homology of a branched double-cover

Date
Authors
Greene, Joshua
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
Given a diagram of a link K in S^3, we write down a Heegaard diagram for the branched-double cover Sigma(K). The generators of the associated Heegaard Floer chain complex correspond to Kauffman states of the link diagram. Using this model we make some computations of the homology \hat{HF}(Sigma(K)) as a graded group. We also conjecture the existence of a delta-grading on \hat{HF}(Sigma(K)) analogous to the delta-grading on knot Floer and Khovanov homology.
Comment: 43 pages, 20 figures
Keywords
Mathematics - Geometric Topology
Citation
Collections