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Gromov-Witten invariants of Fano threefolds of genera 6 and 8

Victor Przyjalkowski
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Abstract

The aim of this paper is to prove Golyshev's conjecture in the cases of Fano threefolds $V_{10}$ and $V_{14}$. 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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BibTeXRIS

Victor Przyjalkowski. 2007-01-07. Gromov-Witten invariants of Fano threefolds of genera 6 and 8. https://doi.org/10.1070/sm2007v198n03abeh003843

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