Affiliation:
1. School of Mathematics, Sun Yat-sen University , Guangzhou 510275, P.R. China
Abstract
Abstract
Conjecture ${{\mathcal{O}}}$ and Gamma conjectures for quantum cohomology of Fano manifolds were proposed by Galkin, Golyshev, and Iritani [ 16]. We prove Conjecture ${{\mathcal{O}}}$ for Fano complete intersections in projective spaces. The main tools to compute relevant genus-zero Gromov–Witten invariants with primitive insertions are the genus-one topological recursion relation and Zinger’s standard-versus-reduced formula. We also prove a related conjecture of Galkin [ 15] for projective Fano complete intersections.
Publisher
Oxford University Press (OUP)
Reference38 articles.
1. On Fano complete intersections in rational homogeneous varieties;Bai;Math. Z.,2020
2. (Semi)simple exercises in quantum cohomology;Bayer,2004
3. Gromov–Witten invariants in algebraic geometry;Behrend;Invent. Math.,1997
4. Conejcture $\mathcal{O}$ holds for some horospherical varieties of Picard rank 1;Bones;Involve,2020
5. Galkin’s lower bound conjecture for Lagrangian and orthogonal Grassmannians;Cheong,2019
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