About \(G\)-bundles over elliptic curves

DOI10.5802/aif.1623zbMath0901.14019OpenAlexW2037733548MaRDI QIDQ1266219

Yves Laszlo

Publication date: 14 September 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_2_413_0

zbMATH Keywords

semistable bundlescoarse moduli spaceprincipal bundles over a complex elliptic curve

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Fine and coarse moduli spaces (14D22)

Related Items

On the stack of semistable \(G\)-bundles over an elliptic curve, Meromorphic Higgs bundles and related geometries, Geometry of the analytic loop group, Elliptic Springer theory, Essentially finite \(G\)-torsors, Moduli spaces of bundles on an abelian variety, Quantization of some moduli spaces of parabolic vector bundles on \({\mathbb C}{\mathbb P}^1\), Commuting elements in reductive groups and Higgs bundles on abelian varieties, Fundamental groups of moduli of principal bundles on curves, Moduli space of \(G\)-connections on an elliptic curve, Explicit determination of the Picard group of moduli spaces of semistable \(G\)-bundles on curves, Conjugacy classes in affine Kac-Moody groups and principal \(G\)-bundles over elliptic curves, Representations of the elliptic affine Hecke algebras, HIGGS BUNDLES OVER ELLIPTIC CURVES FOR COMPLEX REDUCTIVE GROUPS, Geometrizing the minimal representations of even orthogonal groups, Revisiting the moduli space of semistable \(G\)-bundles over elliptic curves, Multiplicative Hitchin systems and supersymmetric gauge theory, Geometry of the moduli of parabolic bundles on elliptic curves, Higgs bundles over elliptic curves, Principal bundles on metric graphs: the \(\operatorname{GL}_n\) case, The Jordan–Chevalley decomposition for 𝐺-bundles on elliptic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Moduli for principal bundles over algebraic curves. I
• Chevalley's theorem for complex crystallographic Coxeter groups
• Root systems and elliptic curves
• Vector bundles and \(F\) theory
• Semistable bundles over an elliptic curve
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. Seconde édition.
• Espaces projectifs anisotropes
• The line bundles on the moduli of parabolic G-bundles over curves and their sections
• The Picard group of the moduli of G-bundles on a curve
• Conjugacy classes in loop groups and G-bundles on elliptic curves
• The Yang-Mills equations over Riemann surfaces
• Conformal blocks, fusion rules and the Verlinde formula