Generating function on epimorphisms between $2$-bridge knot groups

Autor:	Suzuki, Masaaki
Rok vydání:	2020
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	We have the generating function which determines the number of $2$-bridge knot groups admitting epimorphisms onto the knot group of a given $2$-bridge knot, in terms of crossing number. In this paper, we will refine this formula by taking account into genus as well as crossing number. Next, we determine the number of epimorphisms between fibered $2$-bridge knot groups. Moreover, we discuss degree one maps and $2$-bridge knots uknotting number one. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.06832 Zobrazit plný text záznamu View this record from Arxiv