2:00 pm Monday, March 9, 2020
Topology Seminar: Plamenevskaya's invariant and the stable Khovanov homology of twisted torus links by Christine Lee (University of South Alabama) in RLM 12.166
A transverse link is a link in the 3-sphere that is everywhere transverse to the standard contact structure. Transverse links are considered up to transverse isotopy, with classical invariants such as the self-linking number and regular isotopy class. One of the rst connections between transverse links and quantum invariants was made by Plamenevskaya in 2006, when she dened a invariant of transverse links from Khovanov homology. Since then, the relationship between this fascinating invariant and contact geometry remains of intense interest. In this talk, I will discuss open questions relating Plamenevskaya's invariant to the contact-geometric properties of braids such as the Fractional Dehn Twist Coecient, and how my recent works with Hubbard, and with Caprau, Gonzalez, Sazdanovic, and Zhang apply to study those questions. 1 Submitted by
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