Publication Date
2000
Abstract
Assuming suitable convergence properties for the Gromov-Witten potential of a Calabi-Yau manifold $X$ one may construct a polarized variation of Hodge structure over the complexified K\"ahler cone of $X$. In this paper we show that, in the case of fourfolds, there is a correspondence between ``quantum potentials'' and polarized variations of Hodge structures that degenerate to a maximally unipotent boundary point. Under this correspondence, the WDVV equations are seen to be equivalent to the Griffiths' trasversality property of a variation of Hodge structure.
Recommended Citation
Cattani, E and Fernandez, Javier, "Asymptotic Hodge theory and quantum products" (2000). Mathematics and Statistics Department Faculty Publication Series. 1155.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1155
Comments
This is the pre-published version harvested from ArXiv.