Non-involutory Hopf algebras and 3-manifold invariants

Details Non-involutory Hopf algebras and 3-manifold invariants Non-involutory Hopf algebras and 3-manifold invariants

1997-12-19

arxiv.org/abs/q-alg/9712047v1

Duke Math J., 84(1):83-129, 1996

Mathematics

Quantum Algebra

36 pages

Scientific paper

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.

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