# Resolvent of vector fields and Lefschetz numbers

@inproceedings{Chaubet2022ResolventOV, title={Resolvent of vector fields and Lefschetz numbers}, author={Yann Chaubet and Yannick Guedes Bonthonneau}, year={2022} }

. We study the wavefront set of 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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For proper group actions on smooth manifolds, with compact quotients, we define an equivariant version of the Ruelle dynamical $\zeta$-function for equivariant flows satisfying a nondegeneracy…

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