Good Wild Harmonic Bundles and Good Filtered Higgs Bundles
Differential Geometry
2021-07-20 v6 Algebraic Geometry
Abstract
We prove the Kobayashi-Hitchin correspondence between good wild harmonic bundles and polystable good filtered -flat bundles satisfying a vanishing condition. We also study the correspondence for good wild harmonic bundles with the homogeneity with respect to a group action, which is expected to provide another way to construct Frobenius manifolds.
Keywords
Cite
@article{arxiv.1902.08298,
title = {Good Wild Harmonic Bundles and Good Filtered Higgs Bundles},
author = {Takuro Mochizuki},
journal= {arXiv preprint arXiv:1902.08298},
year = {2021}
}