Here we a construct rank r stable vector bundles E on X such that the sequence {st (E)} 1 ≤ t < r has a prescribed value and the set of all subsheaves of E with maximal degree may be explicitely ...

Henning Haahr Andersen, The Frobenius Morphism on the Cohomology of Homogeneous Vector Bundles on G/B, Annals of Mathematics, Vol. 112, No. 1 (Jul., 1980), pp. 113-121 ...

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The course gives an introduction to smooth manifolds. It covers tangent bundles, vector fields and integral curves (ordinary differential equations), Lie groups, differential forms, and integration.

Anomalies are ubiquitous features in quantum field theories. They can ruin the consistency of such theories and put significant restrictions on their viability, especially in dimensions higher than ...

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In doing so he introduced the notion of stable vector bundles, which morally speaking measure the non-degeneracy of vector bundles. Later, Gieseker constructed moduli of vector bundles over algebraic ...