Root stacks, principal bundles and connections

DOI10.1016/j.bulsci.2012.03.006zbMath1260.14017arXiv1203.6556OpenAlexW2165588110MaRDI QIDQ428759

Michael Lennox Wong, Souradeep Majumder, Indranil Biswas

Publication date: 25 June 2012

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6556

zbMATH Keywords

principal bundleconnectionparabolic bundleroot stack

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Other connections (53B15) Stacks and moduli problems (14D23)

Related Items (6)

Parallel transport on principal bundles over stacks ⋮ Real structures on root stacks and parabolic connections ⋮ Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks ⋮ Parabolic connections and stack of roots ⋮ Orthogonal and symplectic parabolic connections and stack of roots ⋮ Atiyah sequences, connections and characteristic forms for principal bundles over groupoids and stacks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Riemann-Hilbert for tame complex parahoric connections
• Intersection theory on algebraic stacks and on their moduli spaces
• Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
• Uniformization of \({\mathcal {G}}\)-bundles
• Moduli of vector bundles on curves with parabolic structures
• Representations of orbifold groups and parabolic bundles
• Parabolic bundles as orbifold bundles
• On holomorphic principal bundles over a compact Riemann surface admitting a flat connection
• Stable and unitary vector bundles on a compact Riemann surface
• Semistability criterion for parabolic vector bundles on curves
• Moduli of parahoric 𝒢-torsors on a compact Riemann surface
• CONNECTION ON PARABOLIC VECTOR BUNDLES OVER CURVES
• Complex Analytic Connections in Fibre Bundles
• Using stacks to impose tangency conditions on curves
• Sur les repr\'esentations du groupe fondamental d'une vari\'et\'e priv\'ee d'un diviseur \`a croisements normaux simples
• INFINITESIMAL DEFORMATION OF PARABOLIC HIGGS SHEAVES
• Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
• Fibrés Paraboliques et Champ des Racines
• Connections on a Parabolic Principal Bundle Over a Curve
• Algebraic stacks
• Principal bundles over projective manifolds with parabolic structure over a divisor

This page was built for publication: Root stacks, principal bundles and connections