%0 Journal Article
%T Mixed Frobenius Structure and Local A-model
%A Yukiko Konishi
%A Satoshi Minabe
%J Mathematics
%D 2012
%I arXiv
%X We define the notion of mixed Frobenius structure which is a generalization of the structure of a Frobenius manifold. We construct a mixed Frobenius structure on the cohomology of weak Fano toric surfaces and that of the three dimensional projective space using local Gromov-Witten invariants. This is an analogue of the Frobenius manifold associated to the quantum cohomology in the local Calabi-Yau setting.
%U http://arxiv.org/abs/1209.5550v2