Proves a derived symplectic reduction theorem by modeling the quotient as a dg-groupoid and constructing a non-degenerate reduced form in the Bott-Shulman complex.
2007.09.008
3 Pith papers cite this work. Polarity classification is still indexing.
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Refines charge quantization via homotopy type A whose homotopy groups classify brane charges and homology groups classify higher-form symmetries, deriving swampland-like constraints that rule out noncompact gauge groups and non-nilpotent Lie algebras for field strengths.
A criterion for existence of minimizers of Dirac eigenvalues in conformal classes on spin surfaces yields optimal isoperimetric inequalities and a complete characterization of the conformal spectrum on the sphere.
citing papers explorer
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Derived Symplectic Reduction in Differential Geometry
Proves a derived symplectic reduction theorem by modeling the quotient as a dg-groupoid and constructing a non-degenerate reduced form in the Bott-Shulman complex.
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Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory
Refines charge quantization via homotopy type A whose homotopy groups classify brane charges and homology groups classify higher-form symmetries, deriving swampland-like constraints that rule out noncompact gauge groups and non-nilpotent Lie algebras for field strengths.
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Conformally critical metrics and optimal bounds for Dirac eigenvalues on spin surfaces
A criterion for existence of minimizers of Dirac eigenvalues in conformal classes on spin surfaces yields optimal isoperimetric inequalities and a complete characterization of the conformal spectrum on the sphere.