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Lenny Ng : New algebraic invariants of Legendrian links (Feb 5, 2024 3:10 PM)
For the past 25 years, a key player in contact topology has been the Floer-theoretic invariant called Legendrian contact homology. I'll discuss a package of new invariants for Legendrian knots and links that builds on Legendrian contact homology and is derived from rational symplectic field theory. This includes a Poisson bracket on Legendrian contact homology and a symplectic structure on augmentation varieties. Time permitting, I'll also describe an unexpected connection to cluster theory for a family of Legendrian links associated to positive braids. Parts of this are joint work in progress with Roger Casals, Honghao Gao, Linhui Shen, and Daping Weng.
- Category: Geometry and Topology
- Duration: 01:02:44
- Date: February 5, 2024 at 3:10 PM
- Views: 77
- Tags: seminar, Geometry and Topology Seminar
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