Under the null convergence condition and χ_α=0, connected compact totally geodesic null hypersurfaces in Finsler spacetimes have constant surface gravity.
Quantum Optimal Transport with Quantum Channels
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Mode stability without symmetry assumptions is proved for self-similar wave map blowups in all dimensions d ≥ 4.
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.
Instanton partition functions on the blow-up are given by chamber-dependent contour integrals over super-partitions selected by stability conditions, yielding explicit wall-crossing formulas that recover the Nakajima-Yoshioka blow-up formula.
A literature review synthesizing developments in quantum Wasserstein distances, their applications, and unresolved questions.
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Totally geodesic null hypersurfaces and constancy of surface gravity in Finsler spacetimes
Under the null convergence condition and χ_α=0, connected compact totally geodesic null hypersurfaces in Finsler spacetimes have constant surface gravity.
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Mode stability of self-similar wave maps without symmetry in higher dimensions
Mode stability without symmetry assumptions is proved for self-similar wave map blowups in all dimensions d ≥ 4.
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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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Wall-crossing of Instantons on the Blow-up
Instanton partition functions on the blow-up are given by chamber-dependent contour integrals over super-partitions selected by stability conditions, yielding explicit wall-crossing formulas that recover the Nakajima-Yoshioka blow-up formula.
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Wasserstein Distances on Quantum Structures: an Overview
A literature review synthesizing developments in quantum Wasserstein distances, their applications, and unresolved questions.