The universal Vassiliev invariant for the Lie superalgebra gl(1|1)
q-alg
2009-10-30 v2 High Energy Physics - Theory
Quantum Algebra
Abstract
We compute the universal weight system for Vassiliev invariants coming from the Lie superalgebra gl(1|1) applying the construction of \cite{YB}. This weight system is a function from the space of chord diagrams to the center of the universal enveloping algebra of gl(1|1), and we find a combinatorial expression for it in terms of the standard generators of . The resulting knot invariants generalize the Alexander-Conway polynomial.
Keywords
Cite
@article{arxiv.q-alg/9602014,
title = {The universal Vassiliev invariant for the Lie superalgebra gl(1|1)},
author = {José M Figueroa-O'Farrill and Takashi Kimura and Arkady Vaintrob},
journal= {arXiv preprint arXiv:q-alg/9602014},
year = {2009}
}
Comments
44 pages with figures, wrapped with uufiles, requires epsf.sty -- Added a short section about deframing