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Reidemeister torsion and Integrable Hamiltonian systems

Alexander Fel'shtyn, Hector Sánchez-Morgado

math.DSarXiv:math/9811110

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.

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