Skip to main content

Research Repository

Advanced Search

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

Schuetz, Dirk

Authors



Abstract

We 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 completed simplicial chain complex of the universal cover of M.

Citation

Schuetz, D. (2002). One-parameter fixed-point theory and gradient flows of closed 1-forms. K-Theory, 25(1), 59-97. https://doi.org/10.1023/a%3A1015079805400

Journal Article Type Article
Publication Date Jan 1, 2002
Deposit Date Mar 27, 2008
Journal K-Theory
Print ISSN 0920-3036
Electronic ISSN 1573-0514
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 25
Issue 1
Pages 59-97
DOI https://doi.org/10.1023/a%3A1015079805400
Keywords One-parameter fixed-point theory, Closed 1-forms, Zeta function, Novikov complex.

You might also like



Downloadable Citations