2021 - T2 - Symplectic topology, contact topology and interactions

Collection 2021 - T2 - Symplectic topology, contact topology and interactions

Organizer(s) Colin, Vincent ; Humilière, Vincent ; Massot, Patrick ; Niederkrüger, Klaus ; Oancea, Alexandru ; Vaugon, Anne
Date(s) 19/04/2021 - 16/07/2021
linked URL https://indico.math.cnrs.fr/event/5767/
00:00:00 / 00:00:00
34 45

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

By Baptiste Chantraine

Joint work with G. Dimitroglou-Rizell and P. Ghiggini.

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.

Information about the video

  • Date of recording 07/05/2021
  • Date of publication 07/05/2021
  • Institution IHP
  • Language English
  • Audience Researchers
  • Format MP4

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