A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
Hörmander.The Analysis of Linear Partial Differential Operators IV
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The first correction term in the mean first capture time of shrinking geodesic balls by isotropic Lévy flights on Zoll surfaces is determined by the degree of the conjugate point.
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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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Geodesic L\'evy flights on Zoll surfaces
The first correction term in the mean first capture time of shrinking geodesic balls by isotropic Lévy flights on Zoll surfaces is determined by the degree of the conjugate point.