English

Dehn twists on Kauffman bracket skein algebras

Geometric Topology 2016-07-20 v3

Abstract

We give an explicit formula for the action of the Dehn twist along a simple closed curve in a compact connected oriented surface on the completion of the filtered skein modules. To do this, we introduce filtrations of the Kauffman bracket skein algebra and the Kauffman bracket skein modules on the surface.

Keywords

Cite

@article{arxiv.1510.05139,
  title  = {Dehn twists on Kauffman bracket skein algebras},
  author = {Shunsuke Tsuji},
  journal= {arXiv preprint arXiv:1510.05139},
  year   = {2016}
}

Comments

20 pages, 22 figures