The cohomology of the quasimap space is identified with the local cohomology of a natural vector bundle on the scheme-theoretic fixed locus of the étale fundamental group action on the A_n-surface Coulomb branch, for generic parameters.
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The perverse Leray filtration on top cohomology of Hilb(Σ×ℂ) is computed explicitly in the ℂ*-upward-flow basis, yielding a triangular change-of-basis from complete homogeneous to power-sum symmetric functions.
Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.
Authors introduce a TFT-based framework for finite topological symmetries in QFT, including gauging, condensation defects, and duality defects, with an appendix on finite homotopy theories.
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Symplectic duality for the constant term of the geometric Eisenstein series
The cohomology of the quasimap space is identified with the local cohomology of a natural vector bundle on the scheme-theoretic fixed locus of the étale fundamental group action on the A_n-surface Coulomb branch, for generic parameters.
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Perverse filtration on Hilbert schemes via upward flow
The perverse Leray filtration on top cohomology of Hilb(Σ×ℂ) is computed explicitly in the ℂ*-upward-flow basis, yielding a triangular change-of-basis from complete homogeneous to power-sum symmetric functions.
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K-theory of Gieseker variety and type A cyclotomic Hecke algebra
Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.
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Topological symmetry in quantum field theory
Authors introduce a TFT-based framework for finite topological symmetries in QFT, including gauging, condensation defects, and duality defects, with an appendix on finite homotopy theories.