Frobenius Algebras Derived from the Kauffman Bracket Skein Algebra

Abstract

In this paper we study the skein modules of the surfaces, ${\Sigma }_{i,j}$ $(i,j)\in \{(0,2),(0,3),(1,0),(1,1)\}$ at $2N$-th roots of unity where $N\ge 3$ is an odd counting number and construct Frobenius algebras from them.

23 pages, 1 figure

Cited by in corpus (2)

• The Localized Skein Algebra is Frobenius
• Dimension and Trace of the Kauffman Bracket Skein Algebra