Miraculous cancellations for quantum $SL_2$
Quantum Algebra
2021-01-19 v2 Geometric Topology
Abstract
In earlier work, Helen Wong and the author discovered certain "miraculous cancellations" for the quantum trace map connecting the Kauffman bracket skein algebra of a surface to its quantum Teichmueller space, occurring when the quantum parameter is a root of unity. The current paper is devoted to giving a more representation theoretic interpretation of this phenomenon, in terms of the quantum group and its dual Hopf algebra .
Cite
@article{arxiv.1708.07617,
title = {Miraculous cancellations for quantum $SL_2$},
author = {Francis Bonahon},
journal= {arXiv preprint arXiv:1708.07617},
year = {2021}
}
Comments
26 pages. Version 2: minor revisions prior to submission