Quantum Topology / Hopf Algebra Seminar

Louis H Kauffman
UIC
Introduction to the Kuperberg Invariant of Three Manifolds
Abstract: This will be the second of two talks about the Hennings-Kauffman-Radford (HKR) invariant and the Kuperberg invariant of three-manifolds. These talks will precede the Februrary 8 talk by Shawn Cui, who will prove a conjectured relationship between the two invariants. The HKR invariant is defined via Hopf algebras using surgery on framed links. The Kuperberg invariant is defined via Hopf algebras using a Heegaard decomposition of the three manifold. See \begin{enumerate} \item http://homepages.math.uic.edu/~kauffman/CENT.pdf \item http://homepages.math.uic.edu/~kauffman/Hopf.pdf \item https://arxiv.org/pdf/1504.00743.pdf \item https://arxiv.org/pdf/math/9201301.pdf \item https://arxiv.org/pdf/1710.09524.pdf \end{enumerate}
Tuesday February 6, 2018 at 3:00 PM in SEO 612
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