A new invariant of equivariant concordance and results on 2-bridge knots

Autor:	Di Prisa, Alessio, Framba, Giovanni
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology 57K10 (Primary) 57R85 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We study the equivariant concordance classes of two-bridge knots, providing an easy formula to compute their butterfly polynomial, and we give two different proofs that no two-bridge knot is equivariantly slice. Finally, we introduce a new invariant of equivariant concordance for strongly invertible knots. Using this invariant as an obstruction we strengthen the result on two-bridge knots, proving that their equivariant concordance order is always infinite. Comment: 15 pages, 9 figures. Minor changes, added some clarifying remarks. Comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.08794 Zobrazit plný text záznamu View this record from Arxiv