14 citations · 45 across the 16 of their papers we have counts for
20 papers
The Kauffman Bracket Skein Module at an irreducible representation
Mohammad Farajzadeh-Tehrani, Charles Frohman, Joanna Kania-Bartoszynska
In this paper, we study the Kauffman bracket skein module of closed oriented three-manifolds at a non-multiple-of-four roots of unity. Our main result establishes that the localiza…
Sliced skein algebras and geometric Kauffman bracket
Charles Frohman, Joanna Kania-Bartoszynska, Thang Lê
The sliced skein algebra of a closed surface of genus with punctures, , is the quotient of the Kauffman bracket skein algebra $\mathcal{S}_ξ(\mathfrak…
Skein Algebras of Three-Manifolds at 4th Roots of Unity
Charles Frohman, Joanna Kania-Bartoszynska, Thang Le
This paper introduces an algebra structure on the part of the skein module of an arbitrary -manifold spanned by links that represent in when the va…
Dimension and Trace of the Kauffman Bracket Skein Algebra
Charles Frohman, Joanna Kania-Bartoszynska, Thang Le
Let be a finite type surface and a complex root of unity. The Kauffman bracket skein algebra is an important object in both classical and quantum topology as it ha…
Unicity for Representations of the Kauffman bracket Skein Algebra
Charles Frohman, Joanna Kania-Bartoszynska, Thang Lê
This paper resolves the unicity conjecture of Bonahon and Wong for the Kauffman bracket skein algebras of all oriented finite type surfaces at all roots of unity. The proof is a co…
The Structure of the Kauffman Bracket Skein Algebra at Roots of Unity
Charles Frohman, Joanna Kania-Bartoszynska
This paper is focused on the structure of the Kauffman bracket skein algebra of a punctured surface at roots of unity. A criterion that determines when a collection of skeins forms…