Quantum Cohomology Rings of Lagrangian and Orthogonal Grassmannians and Total Positivity

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We verify in an elementary way a result of Peterson for the maximal orthogonal and Lagrangian Grassmannians, and then find Vafa-Intriligator type formulas which compute their 3-point, genus zero Gromov-Witten invariants. Finally we study total positivity of the related Peterson varieties and show that Rietsch's conjecture about the total positivity holds for these cases.
29 pages. Some correction made on total positivity and some notation changed

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Quantum Algebra, Algebraic Geometry, 14N35 (Primary); 20G05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/134883

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610793
 http://arxiv.org/abs/math/0610793

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arXiv