Borel-Weil-Bott theory on the moduli stack of \(G\)-bundles over a curve
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Publication:1273302
DOI10.1007/s002220050257zbMath0980.14025OpenAlexW1982418496MaRDI QIDQ1273302
Publication date: 9 March 1999
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002220050257
Algebraic moduli problems, moduli of vector bundles (14D20) Étale and other Grothendieck topologies and (co)homologies (14F20) Loops, quasigroups (20N05) Vector bundles on curves and their moduli (14H60)
Related Items (24)
On moduli of G-bundles on a curve for exceptional G ⋮ Conformal nets. II: Conformal blocks ⋮ Scaling of conformal blocks and generalized theta functions over \(\overline{\mathcal {M}}_{g,n}\) ⋮ A canonical decomposition of generalized theta functions on the moduli stack of Gieseker vector bundles ⋮ On the motivic class of the stack of bundles ⋮ Brauer group of moduli of torsors under Bruhat-Tits group scheme \(\mathcal{G}\) over a curve ⋮ Parabolic bundles, products of conjugacy classes, and Gromov-Witten invariants. ⋮ The Picard group of the universal moduli stack of principal bundles on pointed smooth curves ⋮ Dirac induction for loop groups ⋮ Virasoro constraints in Drinfeld-Sokolov hierarchies ⋮ Boundary chiral algebras and holomorphic twists ⋮ Loop groups and twisted \(K\)-theory. III ⋮ On finite generation of the section ring of the determinant of cohomology line bundle ⋮ The motive of the moduli stack of \(G\)-bundles over the universal curve ⋮ Explicit determination of the Picard group of moduli spaces of semistable \(G\)-bundles on curves ⋮ Stacks and D-brane bundles ⋮ Principal \(G\)-bundles on nodal curves ⋮ String orbifolds and quotient stacks ⋮ Twisted equivariantK-theory with complex coefficients ⋮ The index formula for the moduli of \(G\)-bundles on a curve ⋮ Tempered D-modules and Borel-Moore homology vanishing ⋮ The Brauer group of moduli spaces of vector bundles over a real curve ⋮ FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS ⋮ Geometrization of trace formulas
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