Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Quantum cohomology rings of Lagrangian and orthogonal Grassmannians and total positivity


Author: Daewoong Cheong
Journal: Trans. Amer. Math. Soc. 361 (2009), 5505-5537
MSC (2000): Primary 14N35, 20G05
Published electronically: April 20, 2009
MathSciNet review: 2515821
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 $ 3$-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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 14N35, 20G05

Retrieve articles in all journals with MSC (2000): 14N35, 20G05


Additional Information

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: http://dx.doi.org/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
Published electronically: April 20, 2009
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.