Gromov-Witten invariants for $G/B$ and Pontryagin product for $\Omega K$
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- by Naichung Conan Leung and Changzheng Li PDF
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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
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Additional Information
- Naichung Conan Leung
- Affiliation: The Institute of Mathematical Sciences and Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
- MR Author ID: 610317
- 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
- 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
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 364 (2012), 2567-2599
- MSC (2010): Primary 14N35, 14M15, 22E65
- DOI: https://doi.org/10.1090/S0002-9947-2012-05438-9
- MathSciNet review: 2888220