Quantum Topology / Hopf Algebra Seminar
Marithania Silvero Casanova
UIC and Universidad de Sevilla
On a conjecture by Kauffman on alternative and pseudoalternating links.
Abstract: It is known that alternative links are pseudoalternating. In 1983 Louis Kauffman conjectured that both classes are identical. In this talk we show
that Kauffman Conjecture holds in the particular case of knots of genus one. However, it doesn't hold in general, as we also show by finding two
counterexamples.
In the way we will work with the intermediate family of homogeneous links, introduced by Peter Cromwell; the techniques used here allow us to give
an explicit characterization of homogeneous links of genus 1.
Thursday September 18, 2014 at 3:00 PM in SEO 612