One parameter fixed point theory and gradient flows of closed 1-forms

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dc.creatorSchuetz, D.
dc.date2001-04-25
dc.date.accessioned2026-07-07T04:41:27Z
dc.date.available2026-07-07T04:41:27Z
dc.descriptionWe use the one parameter fixed point theory of Geoghegan and Nicas to get information about the closed orbit structure of transverse gradient flows of closed 1-forms on a closed manifold M. We define a noncommutative zeta function in an object related to the first Hochschild homology group of the Novikov ring associated to the 1-form and relate it to the torsion of a natural chain homotopy equivalence between the Novikov complex and a simplicial complex of the universal cover of M.
dc.description33 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0104245
dc.identifierhttp://arxiv.org/abs/math/0104245
dc.identifierK-Theory 25 (2002) 59-97
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61365
dc.subjectDifferential Geometry
dc.subject37C27 (primary) 57R70 (secondary)
dc.titleOne parameter fixed point theory and gradient flows of closed 1-forms
dc.typetext

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