Cellular homology, augmentations and generating families for Legendrian surfaces

Symplectic geometry and topology

15 October 15:30 - 16:30

Michael G. Sullivan - University of Massachusetts

Abstract: 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.
Tobias Ekholm,
Uppsala University
Yakov Eliashberg
Stanford University
Lenhard Ng
Duke University
Ivan Smith
University of Cambridge


Tobias Ekholm


For practical matters at the Institute, send an e-mail to