# Big quantum cohomology of even dimensional intersections of two quadrics

@inproceedings{Hu2021BigQC, title={Big quantum cohomology of even dimensional intersections of two quadrics}, author={Xiaowen Hu}, year={2021} }

For every even dimensional smooth complete intersection, of dimension at least 4, of two quadric hypersurfaces in a projective space, we compute the genus zero Gromov-Witten invariants of length 4, and then we show that, besides a special invariant, all genus zero GromovWitten invariants can be reconstructed from the invariants of length 4. In dimension 4, we compute the special invariant by relating it to a curve counting problem. We also show that the generating function of genus zero Gromov… Expand

#### One Citation

Gromov-Witten Theory of Complete Intersections

- Mathematics
- 2021

We provide an inductive algorithm computing Gromov–Witten invariants with arbitrary insertions of all smooth complete intersections in projective space, with the exception of complete intersections… Expand

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