Localization of integrals of equivariant forms for non-compact group actions

DOI10.1090/CONM/808/16186MaRDI QIDQ6659890

Matvei Libine

Publication date: 9 January 2025

zbMATH Keywords

Berline-Vergne integral localization formulaintegral character formulaequivariant differential forms

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Noncompact Lie groups of transformations (57S20) Homology with local coefficients, equivariant cohomology (55N25) Lie groups (22Exx)

Cites Work

• Integrals of equivariant forms and a Gauss-Bonnet theorem for constructible sheaves
• The moment map and equivariant cohomology
• Addendum to ``On the variation in the cohomology of the symplectic form of the reduced phase space
• Invariant eigendistributions on a semisimple Lie algebra and homology classes on the conormal variety. I: An integral formula
• Local contribution to the Lefschetz fixed point formula
• A localization argument for characters of reductive Lie groups
• The moment map and equivariant cohomology with generalized coefficients
• Characteristic cycles of constructible sheaves
• Some theorems on actions of algebraic groups
• Invariant eigendistributions on a semisimple Lie algebra
• Projection d'orbites, formule de Kirillov et formule de Blattner
• Two geometric character formulas for reductive Lie groups
• Duistermaat-Heckman measures in a non-compact setting
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