Chord index for knots in thickened surfaces

2021/09/14 by Cheng, Zhiyun, Gao, Hongzhu, Xu, Mengjian
#57K12 #57K20 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2109.06439

Abstract

In this note, we construct a chord index homomorphism from a subgroup of H₁(Σ, ℤ) to the group of chord indices of a knot K in Σ× I. Some knot invariants derived from this homomorphism are discussed.

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