The Torelli group and the Kauffman bracket skein module

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.

arXiv comment15 pages, 14 figures

References in corpus (1)

• Groupoid-theoretical methods in the mapping class groups of surfaces

Cited by in corpus (1)

• Construction of an invariant for integral homology 3-spheres via completed Kauffman bracket skein algebras