Representations of the Kauffman bracket skein algebra of the punctured torus

• Autorzy: Jea-Pil Cho , Răzvan Gelca
• Języki publikacji: EN

Abstrakty

EN

We describe the action of the Kauffman bracket skein algebra on some vector spaces that arise as relative Kauffman bracket skein modules of tangles in the punctured torus. We show how this action determines the Reshetikhin-Turaev representation of the punctured torus. We rephrase our results to describe the quantum group quantization of the moduli space of flat SU(2)-connections on the punctured torus with fixed trace of the holonomy around the boundary.

Kategorie tematyczne

• 57M25: Knots and links in S 3
• 57R56: Topological quantum field theories
• 81T45: Topological field theories
• 81S10: Geometry and quantization, symplectic methods
• 81R50: Quantum groups and related algebraic methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 225
• Numer: 1
• Strony: 45-55

Daty

wydano

2014

Twórcy

autor

Jea-Pil Cho

• Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, U.S.A.

autor

Răzvan Gelca

• Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, U.S.A.

Identyfikatory

DOI

10.4064/fm225-1-3