Download this article
 Download this article For screen
For printing
Recent Issues
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 4
Volume 5, Issue 3
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 4
Volume 1, Issue 3
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 2578-5885
ISSN (print): 2578-5893
Author Index
To Appear
 
Other MSP Journals
Resolvent of vector fields and Lefschetz numbers

Yann Chaubet and Yannick Guedes Bonthonneau

Vol. 6 (2024), No. 2, 521–540
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