Gradient flows of closed 1-forms and their closed orbits
Differential Geometry
2007-05-23 v2 K-Theory and Homology
Abstract
We 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.
Keywords
Cite
@article{arxiv.math/0009055,
title = {Gradient flows of closed 1-forms and their closed orbits},
author = {D. Schuetz},
journal= {arXiv preprint arXiv:math/0009055},
year = {2007}
}
Comments
26 pages, 2 figures, Latex, to appear in Forum Mathematicum