The quantization conjecture revisited.

Teleman, Constantin

Displaying similar documents to “The quantization conjecture revisited.”

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

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

Documenta Mathematica

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Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves

Indranil Biswas, Amit Hogadi, Yogish Holla (2014)

Open Mathematics

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Let X be an irreducible smooth complex projective curve of genus g, with g ≥ 2. Let N be a connected component of the moduli space of semistable principal PGLr (ℂ)-bundles over X; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of N is trivial.

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...

Moduli of representations of the fundamental group of a smooth projective variety II

Carlos T. Simpson (1994)

Publications Mathématiques de l'IHÉS

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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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The Brauer group of desingularization of moduli spaces of vector bundles over a curve

Indranil Biswas, Amit Hogadi, Yogish Holla (2012)

Open Mathematics

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Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M C (r; L) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧r E = L. We show that the Brauer group of any desingularization of M C(r; L) is trivial.

Higgs bundles and local systems

Carlos T. Simpson (1992)

Publications Mathématiques de l'IHÉS

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Instanton bundles on Fano threefolds

Alexander Kuznetsov (2012)

Open Mathematics

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We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.

Degenerations of moduli of stable bundles over algebraic curves

Huashi Xia (1995)

Compositio Mathematica

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