No surface-knot of genus one has triple point number two

Autor:	Kharusi, A. Al, Yashiro, T.
Rok vydání:	2015
Předmět:	Mathematics - Algebraic Topology Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	It is known that there is no 2-knot with triple point number two. The present work shows that there is no surface-knot of genus one with triple point number two. In order to prove the result, we use Roseman moves and the algebraic intersection number of simple closed curves in the double decker set.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.01489 Zobrazit plný text záznamu View this record from Arxiv