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Pré-Publication, Document De Travail Année : 2019

Hodge--Gromov--Witten theory

Résumé

We determine the all-genus Hodge-Gromov-Witten theory of a smooth hypersurface in weighted projective space defined by a chain or loop polynomial. In particular, we obtain the first genus-zero computation of Gromov-Witten invariants for non-Gorenstein hypersurfaces, where the convexity property fails. We eventually extend it to any weighted projective hypersurface defined by an invertible polynomial.

Dates et versions

hal-02309066 , version 1 (09-10-2019)

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Jérémy Guéré. Hodge--Gromov--Witten theory. 2019. ⟨hal-02309066⟩
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