Mixed Frobenius Structure and Local A-model
Algebraic Geometry
2020-10-21 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1209.5550,
title = {Mixed Frobenius Structure and Local A-model},
author = {Yukiko Konishi and Satoshi Minabe},
journal= {arXiv preprint arXiv:1209.5550},
year = {2020}
}
Comments
(v3) 35 pages, version to appear in Kyoto Journal of Mathematics