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arXiv:math/0303013 [math.AG]AbstractReferencesReviewsResources

Quantum Generalization of the Horn Conjecture

Prakash Belkale

Published 2003-03-02, updated 2005-07-21Version 4

We prove a theorem which implies a quantum (multiplicative) analogue of the Horn conjecture, and also of the saturation conjecture. We obtain transversality statements for quantum schubert calculus in any characteristic and also determine the smallest power of q in an arbitrary (small quantum) product of Schubert varieties in a Grassmannian.

Comments: 51 pages, no figures
Categories: math.AG, math.RT
Subjects: 14N15, 14N35
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