GRASSMANNIAN-FRAMED BUNDLES AND GENERALIZED PARABOLIC STRUCTURES

作者:Bhosle Usha*; Biswas Indranil; Hurtubise Jacques
来源:International Journal of Mathematics, 2013, 24(12): 1350090.
DOI:10.1142/S0129167X13500900

摘要

We build compact moduli spaces of Grassmannian-framed bundles over a Riemann surface, essentially replacing a group by a bi-equivariant compactification. We do this both in the algebraic and symplectic settings, and prove a Hitchin-Kobayashi correspondence between the two. The spaces are universal spaces for parabolic bundles (in the sense that all of the moduli can be obtained as quotients), and the reduction to parabolic bundles commutes with the correspondence. An analogous correspondence is outlined for the generalized parabolic bundles of Bhosle.

  • 出版日期2013-11
  • 单位McGill