Bilinearized Legendrian Contact Homology
| Geometry Seminar | |
| Topic: | Bilinearized Legendrian Contact Homology |
| Speaker: | Frederic Bourgeois |
| Affiliation: | Universite Libre Bruxelles |
| Date: | Friday, November 11 |
| Time/Room: | 1:30pm - 3:00pm/S-101 |
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.