K-theoretic J-functions of type A flag varieties

Details K-theoretic J-functions of type A flag varieties K-theoretic J-functions of type A flag varieties

2011-10-14

arxiv.org/abs/1110.3117v1

Mathematics

Algebraic Geometry

23 pages; comments welcome

Scientific paper

The J-function in Gromov-Witten theory is a generating function for one-point genus zero Gromov-Witten invariants with descendants. Here we give formulas for the quantum K-theoretic J-functions of type A flag manifolds and conjectural formulas for other types. Some K-theoretic tools for computation are also provided. As an application, we prove the quantum K-theoretic J-function version of the abelian-nonabelian correspondence for Grassmannians and products of projective space.

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