2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61365We 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.33 pages, LatexDifferential Geometry37C27 (primary) 57R70 (secondary)One parameter fixed point theory and gradient flows of closed 1-formstext