Title: Duality exact sequences in contact homology.
Abstract:
I will discuss a "duality" among the linearized contact
homology groups of a Legendrian submanifold in certain contact
manifolds (in particular in Euclidean (2n+1)-space). This duality is
expressed in a long exact sequence relating the linearized contact
homology, linearized contact cohomology and the ordinary homology of
the Legendrian submanifold. One can use this structure to ease
difficult computations of linearized contact homology in high
dimensions and further illuminate the proof of cases of the Arnold
Conjecture for the double points of an exact Lagrangian in complex n-
space.