Geometry Seminar

Bilinearized Legendrian Contact Homology

Legendrian contact homology (LCH) is a powerful holomorphic curves invariant for Legendrian submanifolds in contact manifolds. It is defined via a differential graded algebra (DGA), but the computation of its homology is often too difficult. Augmentations of this DGA are then used to obtain a linearized complex; its homology is called linearized LCH. In this talk, we show how pairs of augmentations can be used to define a bilinearized version of LCH, which is a refinement of the linearized LCH. These algebraic constructions will be illustrated with geometric interpretations and applications. This is a joint work with Baptiste Chantraine.

Date & Time

November 11, 2011 | 1:30pm – 3:00pm

Location

S-101

Speakers

Frederic Bourgeois

Affiliation

Universite Libre Bruxelles

Event Series

Categories