Transactions of the American Mathematical Society

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
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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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Daewoong Cheong
Affiliation: Department of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangri 2-dong, Seoul, 130-722, Korea
Email: daewoongc@kias.re.kr

DOI: 10.1090/S0002-9947-09-04720-5
PII: S 0002-9947(09)04720-5
Received by editor(s): July 24, 2007
Received by editor(s) in revised form: December 20, 2007
Posted: April 20, 2009
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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