Flat bundles and Hyper-Hodge decomposition on solvmanifolds
Differential Geometry
2014-11-18 v2 Complex Variables
Geometric Topology
Abstract
We study rank flat bundles over solvmanifolds whose cohomologies are non-trivial. By using Hodge theoretical properties for all topologically trivial rank flat bundles, we represent the structure theorem of K\"ahler solvmanifolds as extensions of Hasegawa's result and Benson-Gordon's result for nilmanifolds.
Cite
@article{arxiv.1309.4264,
title = {Flat bundles and Hyper-Hodge decomposition on solvmanifolds},
author = {Hisashi Kasuya},
journal= {arXiv preprint arXiv:1309.4264},
year = {2014}
}
Comments
To appear in Int. Math. Res. Not. IMRN