April 19, 2021 to July 16, 2021
Europe/Paris timezone

Compact objects in the Fukaya category and representations of Eliashberg-Chekanov algebra

May 7, 2021, 10:45 AM
Amphithéatre Darboux (IHP)

Amphithéatre Darboux




Baptiste Chantraine (Université de Nantes)


Let L be a compact Lagrangian in a Weinstein manifold
obtained from a subcritical one by attaching a handle along a Legendrian V. We will see how to associate to L a filling of a satelite of V and how this one induces a representation of the Chekanov-Eliashberg algebra of V. We will show that Legendrian contact homology linearised with respect to this representation recovers the Floer homology of L. We will talk about extensions of this considerations to A-infinity opérations on both sides. This is a joint work with G. Dimitroglou-Rizell and P. Ghiggini.

Presentation materials