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

Leung, Naichung; Li, Changzheng

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

Gromov-Witten invariants for $G/B$ and Pontryagin product for $\Omega K$
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by Naichung Conan Leung and Changzheng Li PDF

Trans. Amer. Math. Soc. 364 (2012), 2567-2599 Request permission

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 $\Omega K$.

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