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

Indranil Biswas

Displaying similar documents to “Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface.”

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...

Principal bundles with parabolic structure.

Balaji, V., Biswas, I., Nagaraj, D.S. (2001)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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The cohomology rings of moduli stacks of principal bundles over curves.

Heinloth, Jochen, Schmitt, Alexander H.W. (2010)

Documenta Mathematica

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The line bundles on the moduli of parabolic $G$ -bundles over curves and their sections

Yves Laszlo, Christoph Sorger (1997)

Annales scientifiques de l'École Normale Supérieure

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Moduli of Vector Bundles on Curves with Parabolic Structures.

V.B. Mehta, C.S. Seshadri (1980)

Mathematische Annalen

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Moduli of Parabolic G-bundles on Curves.

A. Ramanathan, Usha Bhosle (1989)

Mathematische Zeitschrift

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Metaplectic Quantization of the Moduli Spaces of Flat and Parabolic Bundles

Martin Schottenloher (1993)

Recherche Coopérative sur Programme n°25

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Indecomposable parabolic bundles

William Crawley-Boevey (2004)

Publications Mathématiques de l'IHÉS

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We study the possible dimension vectors of indecomposable parabolic bundles on the projective line, and use our answer to solve the problem of characterizing those collections of conjugacy classes of × matrices for which one can find matrices in their closures whose product is equal to the identity matrix. Both answers depend on the root system of a Kac-Moody Lie algebra. Our proofs use Ringel’s theory of tubular algebras, work of Mihai on the existence of logarithmic connections, the...

Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.

Stefan Bauer (1991)

Mathematische Annalen

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A criterion for the existence of a flat connection on a parabolic vector bundle.

Biswas, Indranil (2002)

Advances in Geometry

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Holomorphic vector bundles on $ℙ_{n}$

Michael Schneider (1978-1979)

Séminaire Bourbaki

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