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arXiv · 1508.05976

Twisted K-theoretic Gromov-Witten invariants

Valentin Tonita
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Abstract

We introduce twisted K-theoretic Gromov-Witten invariants - in the frameworks of both "ordinary" and permutation-equivariant K-theoretic GW theory defined recently by Givental. We focus on the case when the twisting is given by the Euler class - we characterize in both cases the range of the $J$-function of the twisted theory in terms of the untwisted theory. As applications we use the D_q module structure in the permutation-equivariant case to generalize results of Givental: we prove a "quantum Lefschetz" type theorem and we relate points on the cones of the total space with those of the base of a toric fibration.

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Valentin Tonita. 2016-06-02. Twisted K-theoretic Gromov-Witten invariants. https://arxiv.org/abs/1508.05976

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