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Gromov-Witten invariants for and Pontryagin product for 
Authors:
Naichung Conan Leung and Changzheng Li
Journal:
Trans. Amer. Math. Soc. 364 (2012), 2567-2599
MSC (2010):
Primary 14N35, 14M15, 22E65
Posted:
January 11, 2012
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Abstract: We give an explicit formula for ( -equivariant) 3-pointed genus zero Gromov-Witten invariants for . We derive it by finding an explicit formula for the Pontryagin product on the equivariant homology of the based loop group .
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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
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
Posted:
January 11, 2012
Article copyright:
© Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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