Professor Dirk Schuetz dirk.schuetz@durham.ac.uk
Professor
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.
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. |
Public URL | https://durham-repository.worktribe.com/output/1593565 |
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