Knots whose braided satellite have the same HOMFLY polynomial up to given $z$-degrees

Autor:	Ito, Tetsuya
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	For a given knot $K$ and $w>0$, we construct infinitely many mutually distinct hyperbolic knots $\{K_i\}$ such that the $P$-satellites of $K$ and $K_i$ have the same HOMFLY polynomial up to given $z$-degrees, for all braided patterns $P$ with winding number less than or equal to $w$. Comment: 5 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.12344 Zobrazit plný text záznamu View this record from Arxiv