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

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 equivariant Pontryagin product on the homology of the based loop group ΩK.

arXiv comment33 pages. Substantial revisions have been made in response to the referee's comments. To appear in Trans. Amer. Math. Soc

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