Grassmannian framed sheaves and generalized parabolic structures

Details Grassmannian framed sheaves and generalized parabolic structures Grassmannian framed sheaves and generalized parabolic structures

2012-02-20

arxiv.org/abs/1202.4239v1

Mathematics

Algebraic Geometry

42 pages

Scientific paper

We build compact moduli spaces of Grassmannian framed bundles over a Riemann surface, essentially replacing a group by its bi-invariant compactification. We do this both in the algebraic and symplectic settings, and prove a Hitchin-Kobayashi correspondence between the two. The spaces are master spaces for parabolic bundles, and the reduction to parabolic bundles commutes with the correspondence. An analogous correspondence is proved for the generalized parabolic bundles of Bhosle, and the Hitchin Kobayashi correspondence is outlined.

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