The cohomology rings of moduli stacks of principal bundles over curves

zbMath1206.14029MaRDI QIDQ612848

Jochen Heinloth, Alexander H. W. Schmitt

Publication date: 15 December 2010

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224780

zbMATH Keywords

cohomologymoduli spacepositive characteristicprincipal bundlestackparabolic bundleTamagawa numberAtiyah-Bott

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Étale and other Grothendieck topologies and (co)homologies (14F20) Stacks and moduli problems (14D23)

Related Items (11)

Geometry of moduli stacks of \((k,l)\)-stable vector bundles over algebraic curves ⋮ Existence of moduli spaces for algebraic stacks ⋮ On parahoric Hitchin systems over curves ⋮ Verlinde/Grassmannian correspondence and rank 2 \(\delta\)-wall-crossing ⋮ A coarse geometric expansion of a variant of Arthur's truncated traces and some applications ⋮ On automorphisms of semistable \(G\)-bundles with decorations ⋮ A generalization of principal bundles with a parabolic or level structure ⋮ Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale ⋮ Moduli spaces for principal bundles in arbitrary characteristic ⋮ A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve ⋮ Geometrization of trace formulas

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