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ISSN 1088-6850(e) ISSN 0002-9947(p)

Quantum cohomology rings of Lagrangian and orthogonal Grassmannians and total positivity

Author(s): Daewoong Cheong
Journal: Trans. Amer. Math. Soc. 361 (2009), 5505-5537.
MSC (2000): Primary 14N35, 20G05
Posted: April 20, 2009
MathSciNet review: 2515821
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Abstract: 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 -point, genus zero Gromov-Witten invariants. Finally we study the total positivity of the related Peterson's varieties and show that Rietsch's conjecture about the total positivity holds for these cases.

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