On the leafwise cohomology and dynamical zeta functions for fiber bundles over the circle

Abstract

In this paper, we give concrete descriptions of leafwise cohomology groups and show the regularized determinant expression of the dynamical zeta function for fiber bundles over $S^1$. As applications, we show a functional equation and some formulas for special values of the dynamical zeta function.

arXiv comment10 pages

References in corpus (1)

• A dynamical systems analogue of Lichtenbaum's conjectures on special values of Hasse-Weil zeta functions

Cited by in corpus (2)

• Chebotarev links are stably generic
• Analysis on Riemannian foliations of bounded geometry