Gradient flows of closed 1-forms and their closed orbits

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dc.creatorSchuetz, D.
dc.date2000-09-06
dc.date2001-03-15
dc.date.accessioned2026-07-07T04:37:13Z
dc.date.available2026-07-07T04:37:13Z
dc.descriptionWe consider the closed orbit structure of generic gradient flows of Morse closed 1-forms. The torsion of a chain homotopy equivalence between the Novikov complex and the completed simplicial chain complex of the universal cover detects the eta function of the flow. We extend this result to arbitrary Morse closed 1-forms. The case of rational forms was considered by A. Pajitnov.
dc.description26 pages, 2 figures, Latex, to appear in Forum Mathematicum
dc.identifierhttps://arxiv.org/abs/math/0009055
dc.identifierhttp://arxiv.org/abs/math/0009055
dc.identifierForum Math. 14 (2002) 509-537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59872
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.subject57R70 (primary) 57R25 (secondary)
dc.titleGradient flows of closed 1-forms and their closed orbits
dc.typetext

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