Department of Mathematics

Geometry and Topology

  •  Wenyuan Li, Northwestern University
  •  Lagrangian cobordism functor in microlocal sheaf theory
  •  03/01/2022
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall
  •  Honghao Gao (gaohongh@msu.edu)

In the symplectization of certain contact manifolds (e.g. unit cotangent bundles), given a Lagrangian cobordism between Legendrian submanifolds, we will define a functor between the microlocal sheaf categories with singular support on the corresponding Legendrians. This is expected to be an analogue of the cobordism map of Chekanov-Eliashberg dg algebras and their augmentation categories. Full faithfulness of the functor will imply some long exact sequences. Finally, we will explain an interesting phenomenon about the existence/obstruction of Lagrangian cobordisms between a pair of Legendrian surfaces as an application.

 

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