27 citations · 139 across the 37 of their papers we have counts for
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math-ph2021★ 1 cited
A Canonical Complex Structure and the Bosonic Signature Operator for Scalar Fields in Globally Hyperbolic Spacetimes
Felix Finster, Albert Much
The bosonic signature operator is defined for Klein-Gordon fields and massless scalar fields on globally hyperbolic Lorentzian manifolds of infinite lifetime. The construction is b…
gr-qc2021★ 3 cited
A Deformation Quantization for Non-Flat Spacetimes and Applications to QFT
Albert Much
We provide a deformation quantization, in the sense of Rieffel, for \textit{all} globally hyperbolic spacetimes with a Poisson structure. The Poisson structures have to satisfy Fed…
math.DG2021★ 3 cited
On Global Hyperbolicity of Spacetimes: Topology Meets Functional Analysis
Felix Finster, Albert Much, Kyriakos Papadopoulos
This chapter is an up-to-date account of results on globally hyperbolic spacetimes, and serves several purposes. We begin with the exposition of results from a foundational level,…