Quantum Topology / Hopf Algebra Seminar
Marithania Silvero Casanova
UIC and Universidad de Sevilla
Strongly Quasipositive Links and their Conway Polynomial
Abstract: In 1989, P. Cromwell proved that positive links have Conway polynomial with positive coefficients. Positive links include those links which are closure
of positive braids in terms of Artin generators.
A link is said to be strongly quasipositive if it can be expressed by a positive braid word using the generators introduced by Birman, Ko and Lee in 1998. Not
every strongly quasipositive link is positive. In this talk we show that strongly quasipositive links with braid index 3 have Conway polynomial with positive
coefficients. We will explain why the techniques used for the 3-strands case seem not to be suitable for studying the 4-strands case.
Tuesday October 14, 2014 at 3:00 PM in SEO 612