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Quantum Algebra & Quantum Topology Seminar - Matthew Harper

Matthew Harper
December 4, 2018
1:50PM - 2:50PM
Bolz Hall 422

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Add to Calendar 2018-12-04 13:50:00 2018-12-04 14:50:00 Quantum Algebra & Quantum Topology Seminar - Matthew Harper Title: Introduction to the Involutory Kuperberg Invariant Speaker: Matthew Harper (Ohio State University) Abstract: Given a compact oriented 3-manifold M and a finite dimensional involutory Hopf algebra H (or Hopf super-algebra, or a Hopf object in a suitable monoidal category) we may define the Kuperberg invariant Ku(M,H). For this talk we give an overview of Heegaard diagrams, including basic examples of presentations for 3-manifolds. We then cover diagram equivalences as is necessary to define Ku(M,H), and compute the invariant for different choices of H. Time permitting, we remark on relations between the Kuperberg invariant and other quantum topological invariants. Seminar URL: https://www.coreyjonesmath.com/qaqt-seminar-osu Bolz Hall 422 Department of Mathematics math@osu.edu America/New_York public

Title: Introduction to the Involutory Kuperberg Invariant

SpeakerMatthew Harper (Ohio State University)

Abstract: Given a compact oriented 3-manifold M and a finite dimensional involutory Hopf algebra H (or Hopf super-algebra, or a Hopf object in a suitable monoidal category) we may define the Kuperberg invariant Ku(M,H). For this talk we give an overview of Heegaard diagrams, including basic examples of presentations for 3-manifolds. We then cover diagram equivalences as is necessary to define Ku(M,H), and compute the invariant for different choices of H. Time permitting, we remark on relations between the Kuperberg invariant and other quantum topological invariants.

Seminar URLhttps://www.coreyjonesmath.com/qaqt-seminar-osu

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