Special Lagrangian and deformed Hermitian Yang-Mills on tropical manifold
Differential Geometry
2018-01-30 v2
Abstract
From string theory, the notion of deformed Hermitian Yang-Mills connections has been introduced by Mari\~no, Minasian, Moore and Strominger. After that, Leung, Yau and Zaslow proved that it naturally appears as mirror objects of special Lagrangian submanifolds via Fourier-Mukai transform between dual torus fibrations. In their paper, some conditions are imposed for simplicity. In this paper, data to glue their construction on tropical manifolds are proposed and a generalization of the correspondence is proved without the assumption that the Lagrangian submanifold is a section of the torus fibration.
Keywords
Cite
@article{arxiv.1707.09717,
title = {Special Lagrangian and deformed Hermitian Yang-Mills on tropical manifold},
author = {Hikaru Yamamoto},
journal= {arXiv preprint arXiv:1707.09717},
year = {2018}
}
Comments
18 pages, 1 figure, 1 table, v2: some typos are corrected, a reference is added, to apper in Math. Z