Moduli Space in Homological Mirror Symmetry
High Energy Physics - Theory
2019-05-07 v2 Algebraic Geometry
Algebraic Topology
Differential Geometry
Symplectic Geometry
Abstract
We prove that the moduli space of the pseudo holomorphic curves in the A-model on a symplectic torus is homeomorphic to a moduli space of Feynman diagrams in the configuration space of the morphisms in the B-model on the corresponding elliptic curve. These moduli spaces determine the structure of the both models.
Keywords
Cite
@article{arxiv.1708.09181,
title = {Moduli Space in Homological Mirror Symmetry},
author = {Matsuo Sato},
journal= {arXiv preprint arXiv:1708.09181},
year = {2019}
}
Comments
21 pages, 8 figures