Gromov-Witten invariants for 𝐺/𝐵 and Pontryagin product for Ω𝐾

Leung, Naichung; Li, Changzheng

doi:10.1090/S0002-9947-2012-05438-9

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ISSN 1088-6850(online) ISSN 0002-9947(print)

Gromov-Witten invariants for 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
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 $\Omega K$ .

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