Non-involutory Hopf algebras and 3-manifold invariants
q-alg
2007-05-23 v1 Quantum Algebra
Abstract
We present a definition of an invariant #(M,H), defined for every finite-dimensional Hopf algebra (or Hopf superalgebra or Hopf object) H and for every closed, framed 3-manifold M. When H is a quantized universal enveloping algebra, #(M,H) is closely related to well-known quantum link invariants such as the HOMFLY polynomial, but it is not a topological quantum field theory.
Keywords
Cite
@article{arxiv.q-alg/9712047,
title = {Non-involutory Hopf algebras and 3-manifold invariants},
author = {Greg Kuperberg},
journal= {arXiv preprint arXiv:q-alg/9712047},
year = {2007}
}
Comments
36 pages