Cédric De Groote: 'Linearizing contact homology'

mercredi 11 mars 2020, 14:00 → 15:00 Europe/Paris

435 (UMPA)

In his thesis, John Pardon used his virtual fundamental cycles machinery to construct contact homology as a functor from a category of contact manifolds with symplectic cobordisms to the category of algebras over the rationals. However, one usually works with a more computable invariant, called linearized contact homology, associated to a contact manifold equipped with a symplectic filling. Unfortunately, it does not directly follow from Pardon's work that it is a well-defined invariant. After a review of contact homology (no previous exposure is needed to attend this talk), I will report on joint work with Julian Chaidez, in which we extend Pardon's techniques to show that linearized contact homology itself is a well-defined invariant.