English

Second-to-Top Term of \hat{HFK} of Closed 3-Braids

Geometric Topology 2025-12-05 v2

Abstract

In this paper, we use the skein exact sequence and other techniques to compute the second-to-top term of HFK of closed 3-braids. We do it case-by-case according to Xu's classification. We also verify the rank inequality conjectured by Sivek.

Keywords

Cite

@article{arxiv.2510.14248,
  title  = {Second-to-Top Term of \hat{HFK} of Closed 3-Braids},
  author = {Zhaojun Chen},
  journal= {arXiv preprint arXiv:2510.14248},
  year   = {2025}
}