Cellular homology, augmentations and generating families for Legendrian surfaces
Cellular homology, augmentations and generating families for Legendrian surfaces
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Michael Sullivan P94, University of Massachusetts
This is a joint Topology - Symplectic Geometry seminar. 听听Given a Legendrian surface in a contact one jet space, there is a local combinatorial DGA associated to the cell decomposition of the base projection of the Legendrian. The DGA is quasi-isomorphic to the Legendrian contact DGA. Using this reformulation I show how a generating family for the Legendrian听 produces an augmentation for the DGA. I will also sketch a partial converse. This is joint work with Dan Rutherford.