vix.ing · top · new · best · stats · spec

Hodge--Gromov--Witten theory

2019/08/29 by Guéré, Jérémy
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.11409

Abstract

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.

Related