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

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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 \Omega K.

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