scientific article; zbMATH DE number 1080906

zbMath0886.18003MaRDI QIDQ4362080

Jean-Luc Brylinski

Publication date: 19 April 1998

Full work available at URL: http://www.numdam.org/item?id=CTGDC_1997__38_3_193_0

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zbMATH Keywords

fixed pointsgroupoidgroup actiongroup extensionsquadratic reciprocity lawholomorphic line bundleKaehler manifoldAtiyah-Bott's fixed point theorem

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Extensions, wreath products, and other compositions of groups (20E22) Class field theory (11R37) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Pseudogroups and differentiable groupoids (58H05) Holomorphic bundles and generalizations (32L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (3)

Harmonic analysis on the rank- value group of a two-dimensional local field ⋮ The Weil representation in characteristic two ⋮ The tame Hilbert symbol via \(K\)-theory and central extensions

Cites Work

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• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Sur certains groupes d'opérateurs unitaires
• Quantization and unitary representations
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
• Loop spaces, characteristic classes and geometric quantization

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