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Noninvolutory Hopf algebras and 3-manifold invariants

Noninvolutory Hopf algebras and 3-manifold invariants

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 …