On the universal character ring and the character variety of the (-2,3,2n+1)-pretzel knot

2012/08/30 by Anh T. Tran, Anh T Tran, Tran, Anh T
Biochemistry, Genetics and Molecular Biology · Mathematics · #Biochemical and Structural Characterization #Geometric and Algebraic Topology #math.GT #math.QA #msc:57M27

paper · pdf · doi:10.48550/arxiv.1208.6058

This note now becomes a part of the paper arXiv:1208.6339

arxiv created 2012/09/22 · arxiv updated 2012/09/25

Abstract

We calculate the universal character ring of a class of two-generator, one-relator groups. As an application we give a less technical proof of a result in [LT] on the universal character ring of the (-2,3,2n+1)-pretzel knot. We also give an elementary proof of a result in [Ma] on the character variety of the (-2,3,2n+1)-pretzel knot.

Related

• The universal character ring of the (-2,2m+1,2n)-pretzel link
• Character varieties of some families of links
• The Culler-Shalen seminorms of the (-2,3,n) pretzel knot
• The representativity of pretzel knots
• The SL(3,C)-character variety of the figure eight knot