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)

 

Gromov-Witten invariants for $ G/B$ and Pontryagin product for $ {\Omega}K$


Authors: Naichung Conan Leung and Changzheng Li
Journal: Trans. Amer. Math. Soc. 364 (2012), 2567-2599
MSC (2010): Primary 14N35, 14M15, 22E65
Published electronically: January 11, 2012
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We give an explicit formula for ($ T$-equivariant) 3-pointed genus zero Gromov-Witten invariants for $ G/B$. We derive it by finding an explicit formula for the Pontryagin product on the equivariant homology of the based loop group $ \Omega K$.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 14N35, 14M15, 22E65

Retrieve articles in all journals with MSC (2010): 14N35, 14M15, 22E65


Additional Information

Naichung Conan Leung
Affiliation: The Institute of Mathematical Sciences and Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
Email: leung@math.cuhk.edu.hk

Changzheng Li
Affiliation: The Institute of Mathematical Sciences and Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
Address at time of publication: Institute for the Physics and Mathematics of the Universe, The University of Tokyo, 5-1-5 Kashiwa-no-Ha, Kashiwa City, Chiba 277-8583, Japan
Email: czli@kias.re.kr

DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05438-9
PII: S 0002-9947(2012)05438-9
Received by editor(s): December 17, 2009
Received by editor(s) in revised form: May 11, 2010, and June 25, 2010
Published electronically: January 11, 2012
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.