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math.AP2021★ 8 cited
Dynamical residues of Lorentzian spectral zeta functions
Nguyen Viet Dang, Michał Wrochna
We define a dynamical residue which generalizes the Guillemin-Wodzicki residue density of pseudo-differential operators. More precisely, given a Schwartz kernel, the definition ref…
math.DG2021★ 5 cited
An index theorem on asymptotically static spacetimes with compact Cauchy surface
Dawei Shen, Michał Wrochna
We consider the Dirac operator on asymptotically static Lorentzian manifolds with an odd-dimensional compact Cauchy surface. We prove that if Atiyah-Patodi-Singer boundary conditio…