{ "id": "math/9811110", "version": "v1", "published": "1998-11-18T11:29:57.000Z", "updated": "1998-11-18T11:29:57.000Z", "title": "Reidemeister torsion and Integrable Hamiltonian systems", "authors": [ "Alexander Fel'shtyn", "Hector Sánchez-Morgado" ], "comment": "18 pages, amstex, 47 KB, no figures", "categories": [ "math.DS", "math.AT", "math.DG" ], "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.", "revisions": [ { "version": "v1", "updated": "1998-11-18T11:29:57.000Z" } ], "analyses": { "keywords": [ "integrable hamiltonian system", "reidemeister torsion", "four-dimensional symplectic manifold", "isoenergetic surface", "witten-floer ideas" ], "note": { "typesetting": "AMS-TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math.....11110F" } } }