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Quantum Algebra & Quantum Topology Seminar - Alex Borland

Alex Borland
October 6, 2016
3:00 pm - 4:00 pm
Cockins Hall 240

Title: An invariant of link diagrams on surfaces via Hopf algebra bundles

Speaker: Alex Borland (The Ohio State University)

Abstract: Hopf algebras have been used in the definition of several types of link invariants. One method created by Ruth Lawrence in 1989 involves "decorating" points on a link diagram with elements of a ribbon Hopf algebra. First we will introduce this type of link invariant. Then we will discuss how to extend this method to define an invariant of link diagrams on arbitrary surfaces. This will involve a special type of flat vector bundle, whose typical fiber is a ribbon Hopf algebra and whose transition maps respect the ribbon structure.

Seminar URL: http://yutsumura.com/quantum-algebra-topology-seminar/

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Seminar - Quantum Algebra & Quantum Topology