Title: Fibration of Symplectic Homology in Cotangent Bundles.

Abstract: Let M be a Liouville domain exact embedded in a cotangent bundle
T*N. In this talk I will describe a fiber-wise version of symplectic
homology of M defined for each q in N. I will then sketch a proof of why
this does not depend on q and defines a local coefficient system, and why
there is a Serre type spectral sequence converging to the symplectic
homology of M - Page 2 of which is isomorphic to the homology of N with
coefficients in this local system. Finally I will discuss applications, and
if time permits - products.