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Displaying similar documents to “Indecomposable parabolic bundles”

Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface.

Indranil Biswas (2003)

Collectanea Mathematica

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Let X be a compact Riemann surface and associated to each point p-i of a finite subset S of X is a positive integer m-i. Fix an elliptic curve C. To this data we associate a smooth elliptic surface Z fibered over X. The group C acts on Z with X as the quotient. It is shown that the space of all vector bundles over Z equipped with a lift of the action of C is in bijective correspondence with the space of all parabolic bundles over X with parabolic structure over S and the parabolic weights...

Parabolic bundles, products of conjugacy classes, and Gromov-Witten invariants

Constantin Teleman, Christopher Woodward (2003)

Annales de l’institut Fourier

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The set of conjugacy classes appearing in a product of conjugacy classes in a compact, 1 -connected Lie group K can be identified with a convex polytope in the Weyl alcove. In this paper we identify linear inequalities defining this polytope. Each inequality corresponds to a non-vanishing Gromov-Witten invariant for a generalized flag variety G / P , where G is the complexification of K and P is a maximal parabolic subgroup. This generalizes the results for S U ( n ) of Agnihotri and the second author...

Simplicity of generic Steiner bundles

Maria Chiara Brambilla (2005)

Bollettino dell'Unione Matematica Italiana

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A Steiner bundle E on P n has a linear resolution of the form 0 → O ⁢ - 1 s → O t → E → 0 . In this paper we prove that a generic Steiner bundle E is simple if and only if χ ⁢ End ⁢ E is less or equal to 1. In particular we show that either E is exceptional or it satisfies the inequality t ≤ n + 1 + n + 1 2 - 4 2 ⁢ s .