A family of pseudo-Anosov braids with large conjugacy invariant sets

Autor:	An, Byung Hee, Ko, Ki Hyoung
Rok vydání:	2012
Předmět:	Mathematics - Geometric Topology Mathematics - Group Theory 20F36 20F10 57M25
Zdroj:	J. Knot Theory Ramification, 22 (2013), no. 6, 1350025, 20pp
Druh dokumentu:	Working Paper
DOI:	10.1142/S0218216513500259
Popis:	We show that there is a family of pseudo-Anosov braids independently parameterized by the braid index and the (canonical) length whose smallest conjugacy invariant sets grow exponentially in the braid index and linearly in the length and conclude that the conjugacy problem remains exponential in the braid index under the current knowledge. Comment: 16 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1203.2320 Zobrazit plný text záznamu View this record from Arxiv