The Knot Floer Cube of Resolutions and the Composition Product
Geometric Topology
2017-03-03 v2
Abstract
We examine the relationship between the (untwisted) knot Floer cube of resolutions and HOMFLY-PT homology. By using a filtration induced by additional basepoints on the Heegaard diagram for a knot , we see that the filtered complex decomposes as a direct sum of HOMFLY-PT homologies of various subdiagrams. Jaeger's composition product formula shows that the graded Euler characteristic of this direct sum is the HOMFLY-PT polynomial of .
Keywords
Cite
@article{arxiv.1508.03037,
title = {The Knot Floer Cube of Resolutions and the Composition Product},
author = {Nathan Dowlin},
journal= {arXiv preprint arXiv:1508.03037},
year = {2017}
}
Comments
Last section moved to a later paper. Minor changes in notation