Reidemeister torsion and Integrable Hamiltonian systems

Details Reidemeister torsion and Integrable Hamiltonian systems Reidemeister torsion and Integrable Hamiltonian systems

1998-11-18

arxiv.org/abs/math/9811110v1

Mathematics

Dynamical Systems

18 pages, amstex, 47 KB, no figures

Scientific paper

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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