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A voyage into the space of augmentationsGeometry/Topology
|Speaker:||Honghao Gao, Michigan State University|
|Start time:||Tue, Oct 12 2021, 4:10PM|
Legendrian knots are central objects in the study of low-dimensional contact and symplectic topology. A powerful modern tool to study Legendrian knots is the Chekanov-Eliashberg differential graded algebra, which is defined using the techniques of holomorphic curves. Augmentations, which are functors of points for the dga, are easy-to-compute and easy-to-compare invariants for Legendrians. In this talk, I will survey through the properties of augmentations, for both old and new, and explain various structures on the space of augmentations.