Reidemeister torsion and Integrable Hamiltonian systems

Abstract

In this paper we compute the Reidemeister torsion of a isoenergetic surface for the integrable Hamiltonian system on the four-dimensional symplectic manifold. We use the spectral sequence defined by the filtration and following Witten-Floer ideas we bring into play the orbits connecting the critical submanifolds.

18 pages, amstex, 47 KB, no figures