Obstructions to Exact Lagrangian Fillings
Time: 2023-03-28
Published By: Wenqiong Li
Speaker(s): Honghao Gao (Tsinghua University)
Time: 14:00-15:00 April 5, 2023
Venue: Room 9, Quan Zhai, BICMR
We study Legendrian knots and their exact Lagrangian fillings. Viewed as cobordisms, exact Lagrangian fillings functorially induce morphisms between moduli spaces between Legendrian invariants. Algebraic structures over these moduli spaces can be used to define obstructions to exact Lagrangian fillings. In this talk, I will report a joint work with Dan Rutherford, where we construct an obstruction from the algebraic geometry of the augmentation variety, and compare it with previously known obstructions arising from A-infinity algebras.
