Event Type
Seminar
Wednesday, April 22, 2020 2:00 PM
Dylan Cant (Stanford)

This talk will explore certain ideas from a paper written by Ekholm and Lekili. Let $X$ be a Liouville manifold and suppose that $\Lambda$ is a Legendrian sphere in the "contact boundary" of $X$. One can do "Legendrian surgery" to this set-up. What does this mean? The result of surgery is another Liouville manifold $X'$. How do the various "algebraic invariants" of $X'$ relate to the invariants of $X$? If time permits, we will sketch a proof that "the wrapped Floer cohomology of the cocore sphere" is quasi-isomorphic to the "Chekanov-Eliashberg dga of the attaching sphere."