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Resolvent of vector
fields and Lefschetz numbers
Yann Chaubet and Yannick Guedes Bonthonneau |
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Vol. 6 (2024), No. 2, 521–540
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Abstract |
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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. |
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Keywords
dynamical series, Lefshetz numbers, trace formula,
wavefront set
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Mathematical Subject Classification
Primary: 37C30, 57R25
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Milestones
Received: 17 April 2023
Revised: 3 August 2023
Accepted: 6 December 2023
Published: 16 May 2024
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Authors |
| Yann Chaubet | |
| Laboratoire de Mathématiques Jean
Leray Université de Nantes Nantes France |
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| Yannick Guedes Bonthonneau | |
| Institut Galilée Université Paris 13 Villetaneuse France |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
