Some families of minimal elements for the partial ordering on prime knots

Autor:	Nagasato, Fumikazu, Tran, Anh T.
Rok vydání:	2013
Předmět:	Mathematics - Geometric Topology 57M27
Druh dokumentu:	Working Paper
Popis:	We show that all twist knots, certain double twist knots and some other 2-bridge knots are minimal elements for the partial ordering on the set of prime knots. The key to these results are presentations of their character varieties using Chebyshev polynomials and a criterion for irreducibility of a polynomial of two variables. These give us an elementary method to discuss the number of irreducible components of the character varieties, which concludes the result essentially. Comment: Title changed, 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1301.0138 Zobrazit plný text záznamu View this record from Arxiv