Genera and crossing numbers of $2$-bridge knots

Autor:	Suzuki, Masaaki, Tran, Anh T.
Rok vydání:	2022
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	In this paper, we determine the average genus of all the $2$-bridge knots with a given crossing number. As a consequence, we obtain the oblique asymptote of this value as the crossing number grows. Comment: 18 pages, 1 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.09238 Zobrazit plný text záznamu View this record from Arxiv