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 (gaohongh@msu.edu)

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: https://msu.zoom.us/j/92550015779?pwd=azRER2p1Sm5CWWRML3lHbVQyWDU1QT09

Contact

Department of Mathematics
Michigan State University