Joint IAS/Princeton University Symplectic Geometry Seminar

Cellular homology, augmentations and generating families for Legendrian surfaces

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 produces an augmentation for the DGA. I will also sketch a partial converse. This is joint work with Dan Rutherford.

Date & Time

March 31, 2016 | 4:30pm – 5:30pm

Location

Fine 314, Princeton University

Affiliation

University of Massachusetts, Amherst

Categories

Notes

Joint with the Princeton topology seminar