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Quantum Generalization of the Horn Conjecture

Prakash Belkale
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Abstract

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.

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Prakash Belkale. 2005-07-21. Quantum Generalization of the Horn Conjecture. https://arxiv.org/abs/math/0303013

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