Gradient flows of closed 1-forms and their closed orbits
微分几何
2007-05-23 v2 K理论与同调
摘要
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.
关键词
引用
@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}
}
备注
26 pages, 2 figures, Latex, to appear in Forum Mathematicum