# On the big quantum cohomology of Fano complete intersections.

@article{Hu2015OnTB, title={On the big quantum cohomology of Fano complete intersections.}, author={Xiaowen Hu}, journal={arXiv: Algebraic Geometry}, year={2015} }

For smooth complete intersections in the projective spaces, we make use of the deformation invariance of Gromov-Witten invariants and results in classical invariant theory to study the symmetric reduction of the WDVV equation by the monodromy groups. We discuss to what extent the quantum cohomology involving primitive cohomology classes can be determined. In particular, we obtain a reconstruction theorem for (i) genus zero Gromov-Witten invariants of cubic hypersurfaces and odd dimensional…

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