On non-isotopic spanning surfaces for a class of arborescent knots

Autor:	Roberts, Lawrence
Rok vydání:	2013
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	We use the methods of Hedden, Juhasz, and Sarkar to exhibit a set of arborescent knots that bound large numbers of non-isotopic minimal genus spanning surfaces. In particular, we describe a sequence of prime knots K_{n} which will bound at least 2^{2n-1} non-isotopic minimal spanning surfaces of genus n. Comment: 15 pgs, 3 figures. Version 2 includes typographical and spelling corrections and an extension to the introduction which adds more information about previously known results for quantitative estimates on the number of spanning surfaces and a improved definition of "equivalence" as used in this paper
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1308.2899 Zobrazit plný text záznamu View this record from Arxiv