Ribbon Graph Constructions with Applications to Link Invariants

Neal Stoltzfus (Louisiana State University)

Monday 2nd December, 2013 15:00-16:00 Maths 204

Abstract

An introduction to ribbon graphs (graphs together with a surface
embedding) and their application in the structure of link diagrams. We
will highlight constructions in the diagrammatic approach to links: tangle
insertions, mutations, parallels, and periodic links can be studied from
the perspective of  on ribbon graphs.  Associated formulae for the rank
polynomials are developed & the corresponding properties given for link
invariants.

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