Quantum cohomology of the Lagrangian Grassmannian

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Let V be a symplectic vector space and LG be the Lagrangian Grassmannian which parametrizes maximal isotropic subspaces in V. We give a presentation for the (small) quantum cohomology ring QH^*(LG) and show that its multiplicative structure is determined by the ring of (Q^~)-polynomials. We formulate a "quantum Schubert calculus" which includes quantum Pieri and Giambelli formulas, as well as algorithms for computing the structure constants appearing in the quantum product of Schubert classes.
27 pages, LaTeX, to appear in Journal of Algebraic Geometry

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Algebraic Geometry, 14M15 (Primary) 05E15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/67860

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306337
 http://arxiv.org/abs/math/0306337

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arXiv