Links of Second Smallest Knot Floer Homology
Geometric Topology
2020-11-25 v1
Abstract
We prove that the rank of knot Floer homology detects the Hopf links, and generalize this result further to classify the links of the second smallest knot Floer homology. We also prove a knot Floer homology analog of arXiv:1910.04246v1 [math.GT] and give a partial answer to when the equality holds in the rank inequality between the knot Floer homology of a link and its sublinks.
Cite
@article{arxiv.2011.11810,
title = {Links of Second Smallest Knot Floer Homology},
author = {Juhyun Kim},
journal= {arXiv preprint arXiv:2011.11810},
year = {2020}
}
Comments
18 pages, 3 figures