Quantum Generalization of the Horn Conjecture

Details Quantum Generalization of the Horn Conjecture Quantum Generalization of the Horn Conjecture

2003-03-02

arxiv.org/abs/math/0303013v4

Mathematics

Algebraic Geometry

51 pages, no figures

Scientific paper

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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