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Resolvent of vector fields and Lefschetz numbers

Yann Chaubet and Yannick Guedes Bonthonneau
Vol. 6 (2024), No. 2, 521–540
DOI: 10.2140/paa.2024.6.521
Abstract

We study the wavefront set of the resolvent of arbitrary flows in their region of convergence, to obtain a general formula for their intersection with currents. We provide an application to the topology of surfaces.

Keywords
dynamical series, Lefshetz numbers, trace formula, wavefront set
Mathematical Subject Classification
Primary: 37C30, 57R25
Milestones
Received: 17 April 2023
Revised: 3 August 2023
Accepted: 6 December 2023
Published: 16 May 2024
Authors
Yann Chaubet
Laboratoire de Mathématiques Jean Leray
Université de Nantes
Nantes
France
Yannick Guedes Bonthonneau
Institut Galilée
Université Paris 13
Villetaneuse
France
© 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers).