One parameter fixed point theory and gradient flows of closed 1-forms
微分几何
2007-05-23 v1
摘要
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 simplicial complex of the universal cover of M.
引用
@article{arxiv.math/0104245,
title = {One parameter fixed point theory and gradient flows of closed 1-forms},
author = {D. Schuetz},
journal= {arXiv preprint arXiv:math/0104245},
year = {2007}
}
备注
33 pages, Latex