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

2017/12/12 by Junhyeong Kim, Kim, Junhyeong
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1712.04181

openalex publication_date 2017/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 S¹. As applications, we show a functional equation and some formulas for special values of the dynamical zeta function.

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