For Hopf monoid homomorphisms, a normalized generator integral exists exactly when the kernel admits an integral and the cokernel admits a cointegral.
Non-involutory Hopf algebras and 3-manifold invariants
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
math.QA 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Integrals along bimonoid homomorphisms
For Hopf monoid homomorphisms, a normalized generator integral exists exactly when the kernel admits an integral and the cokernel admits a cointegral.