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math.DG2025
An equivariant Guillemin trace formula
Peter Hochs, Hemanth Saratchandran
Guillemin's trace formula is an expression for the distributional trace of an operator defined by pulling back functions along a flow on a compact manifold. We obtain an equivarian…
math.DG2025
A Ruelle dynamical zeta function for equivariant flows
Peter Hochs, Hemanth Saratchandran
For proper group actions on smooth manifolds, with compact quotients, we define an equivariant version of the Ruelle dynamical -function for equivariant flows satisfying a nond…