English

The Torelli group and the Kauffman bracket skein module

Geometric Topology 2016-06-30 v2

Abstract

We introduce an embedding of the Torelli group of a compact connected oriented surface with non-empty connected boundary into the completed Kauffman bracket skein algebra of the surface, which gives a new construction of the first Johnson homomorphism.

Keywords

Cite

@article{arxiv.1606.01114,
  title  = {The Torelli group and the Kauffman bracket skein module},
  author = {Shunsuke Tsuji},
  journal= {arXiv preprint arXiv:1606.01114},
  year   = {2016}
}

Comments

15 pages, 14 figures

R2 v1 2026-06-22T14:17:00.486Z