Chord index for knots in thickened surfaces
Zhiyun Cheng, Hongzhu Gao, Mengjian Xu
公開日: 2021/9/14
Abstract
In this note, we construct a chord index homomorphism from a subgroup of $H_1(\Sigma, \mathbb{Z})$ to the group of chord indices of a knot $K$ in $\Sigma\times I$. Some knot invariants derived from this homomorphism are discussed.