Generalized deformations and holomorphic Poisson cohomology of solvmanifolds
Differential Geometry
2016-10-04 v4 Complex Variables
Symplectic Geometry
Abstract
We describe the generalized Kuranishi spaces of solvmanifolds with left-invariant complex structures. By using such description, we study the stability of left-invariantness of deformed generalized complex structures and smoothness of generalized Kuranishi spaces on certain classes of solvmanifolds. We also give explicit finite dimensional cohcain complexes which computes the holomorphic Poisson cohomology of nilmanifolds and solvmanifolds.
Keywords
Cite
@article{arxiv.1211.4188,
title = {Generalized deformations and holomorphic Poisson cohomology of solvmanifolds},
author = {Hisashi Kasuya},
journal= {arXiv preprint arXiv:1211.4188},
year = {2016}
}
Comments
To appear in Annals of Global Analysis and Geometry