Representations of the Kauffman bracket skein algebra of the punctured torus

Jea-Pil Cho, and Răzvan Gelca. "Representations of the Kauffman bracket skein algebra of the punctured torus." Fundamenta Mathematicae 225.0 (2014): 45-55. <http://eudml.org/doc/283161>.

@article{Jea2014,
abstract = {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.},
author = {Jea-Pil Cho, Răzvan Gelca},
journal = {Fundamenta Mathematicae},
keywords = {Kauffman bracket; skein modules; moduli spaces of connections},
language = {eng},
number = {0},
pages = {45-55},
title = {Representations of the Kauffman bracket skein algebra of the punctured torus},
url = {http://eudml.org/doc/283161},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Jea-Pil Cho
AU - Răzvan Gelca
TI - Representations of the Kauffman bracket skein algebra of the punctured torus
JO - Fundamenta Mathematicae
PY - 2014
VL - 225
IS - 0
SP - 45
EP - 55
AB - 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.
LA - eng
KW - Kauffman bracket; skein modules; moduli spaces of connections
UR - http://eudml.org/doc/283161
ER -