Gromov-Witten invariants of Fano threefolds of genera 6 and 8
Abstract
The aim of this paper is to prove Golyshev's conjecture in the cases of Fano threefolds V10 and V14. This conjecture states modularity of D3 equations for smooth Fano threefolds with Picard group Z. More precisely, we find counting matrices of prime two-pointed Gromov-Witten invariants for them. For this we use the method that lets us find Gromov-Witten invariants of complete intersections in varieties whose invariants are (partially) known.
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