Quantum Relatives of Alexander Polynomial
Geometric Topology
2007-05-23 v1 Quantum Algebra
Abstract
The multivariable Conway function is generalized to oriented framed trivalent graphs equipped with additional structure (coloring). This is done via refinements of Reshetikhin-Turaev functors based on irreducible representations of quantized gl(1|1) and sl(2). The corresponding face state sum models for the generalized Conway function are presented.
Cite
@article{arxiv.math/0204290,
title = {Quantum Relatives of Alexander Polynomial},
author = {Oleg Viro},
journal= {arXiv preprint arXiv:math/0204290},
year = {2007}
}
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72 pages