Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Quantum mechanics and nonabelian theta functions for the gauge group SU(2)

Răzvan Gelca;  Alejandro Uribe — 2015

Fundamenta Mathematicae

We propose a direction of study of nonabelian theta functions by establishing an analogy between the Weyl quantization of a one-dimensional particle and the metaplectic representation on the one hand, and the quantization of the moduli space of flat connections on a surface and the representation of the mapping class group on the space of nonabelian theta functions on the other. We exemplify this with the cases of classical theta functions and of the nonabelian theta functions for the gauge group...

Representations of the Kauffman bracket skein algebra of the punctured torus

Jea-Pil Cho;  Răzvan Gelca — 2014

Fundamenta Mathematicae

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.

Page 1

Download Results (CSV)