Quantum gl(1|1) and tangle Floer homology
Geometric Topology
2020-02-25 v2 Quantum Algebra
Abstract
We identify the Grothendieck group of the tangle Floer dg algebra with a tensor product of certain representations. Under this identification, up to a scalar factor, the map on the Grothendieck group induced by the tangle Floer dg bimodule associated to a tangle agrees with the Reshetikhin-Turaev homomorphism for that tangle. We also introduce dg bimodules which act on the Grothendieck group as the generators and of .
Keywords
Cite
@article{arxiv.1510.03483,
title = {Quantum gl(1|1) and tangle Floer homology},
author = {Alexander P. Ellis and Ina Petkova and Vera Vértesi},
journal= {arXiv preprint arXiv:1510.03483},
year = {2020}
}
Comments
56 pages, many EPS figures; improved exposition, corrected small mistakes