The motive of the moduli stack of \(G\)-bundles over the universal curve

DOI10.1007/s12044-008-0031-7zbMath1177.14038arXivmath/0609505OpenAlexW2014480034MaRDI QIDQ949461

Donu Arapura, Ajneet Dhillon

Publication date: 21 October 2008

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609505

zbMATH Keywords

moduli stackmotive\(G\)-bundle

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Vector bundles on curves and their moduli (14H60) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15) Stacks and moduli problems (14D23)

Related Items

Absolute Chow-Künneth decomposition for rational homogeneous bundles and for log homogeneous varieties ⋮ Albanese kernels and Griffiths groups ⋮ Stable points on algebraic stacks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Motivation for Hodge cycles
• Cohomology of the moduli of parabolic vector bundles
• Moduli for principal bundles over algebraic curves. I
• Motives, numerical equivalence, and semi-simplicity
• On the cohomology groups of moduli spaces of vector bundles on curves
• Cohomology of certain moduli spaces of vector bundles
• Borel-Weil-Bott theory on the moduli stack of \(G\)-bundles over a curve
• Semi-stability of reductive group schemes over curves
• For an unconditional theory of motives
• The action of the Torelli group on the homology of representation spaces is nontrivial
• Motivic decomposition and intersection Chow groups. I.
• The Leray spectral sequence is motivic
• Stable principal bundles on a compact Riemann surface
• Intermediate Jacobians and Hodge structures of moduli spaces
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• Théorie de Hodge. II. (Hodge theory. II)
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• On the Cohomology of Moduli of Vector Bundles and the Tamagawa Number of SL_n
• Connected Components of Moduli Stacks of Torsors via Tamagawa Numbers
• The Yang-Mills equations over Riemann surfaces
• Linear algebraic groups.

This page was built for publication: The motive of the moduli stack of \(G\)-bundles over the universal curve