Department of Mathematics

Geometry and Topology

  •  Yu Pan
  •  Augmentations and immersed exact Lagrangian cobordisms
  •  11/17/2020
  •  2:50 PM - 3:40 PM
  •  Online (virtual meeting)
  •  Honghao Gao (

Not all the augmentations of a Legendrian knot come from embedded exact Lagrangian fillings. In this talk, we show that all augmentations come from possibly immersed exact Lagrangian fillings. We first associate an immersed cobordism with a DGA map from the top Legendrian knot to the DGA of the cobordism. This gives a functor from a Legendrian category whose morphisms involve immersed Lagrangian cobordisms to a DGA category. With this functorality, an immersed filling L together with an augmentation of L induce an augmentation of the top Legendrian knot. This is a joint work with Dan Rutherford. Zoom:



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