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.
John.Partial Differential Equations
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Relates the category of quantum Harish-Chandra bimodules at odd roots of unity to affine Soergel bimodules and non-commutative Springer resolution.
Proves that Szczarba operators induce a simplicial map from the triangulated cubical cobar construction of a 1-reduced simplicial set to a simplicial group, confirming a prior result and implying comultiplicativity of the induced dga map.
citing papers explorer
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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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Quantum Harish-Chandra bimodules at roots of unity and affine Hecke category
Relates the category of quantum Harish-Chandra bimodules at odd roots of unity to affine Soergel bimodules and non-commutative Springer resolution.
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The Szczarba map and the cubical cobar construction
Proves that Szczarba operators induce a simplicial map from the triangulated cubical cobar construction of a 1-reduced simplicial set to a simplicial group, confirming a prior result and implying comultiplicativity of the induced dga map.