(1) Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, USA;(2) Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA
Abstract:
We exhibit a direct correspondence between the potential defining the H1,1 small quantum module structure on the cohomology of a Calabi-Yau manifold and the asymptotic data of the A-model variation of Hodge structure. This is done in the abstract context of polarized variations of Hodge structure and Frobenius modules.
E. Cattani was partially supported by NSF Grant DMS-0099707