Cohomologies on hypercomplex manifolds
Differential Geometry
2017-01-24 v1
Abstract
We review some cohomological aspects of complex and hypercomplex manifolds and underline the differences between both realms. Furthermore, we try to highlight the similarities between compact complex surfaces on one hand and compact hypercomplex manifolds of real dimension 8 with holonomy of the Obata connection in SL(2,H) on the other hand.
Cite
@article{arxiv.1701.06552,
title = {Cohomologies on hypercomplex manifolds},
author = {Mehdi Lejmi and Patrick Weber},
journal= {arXiv preprint arXiv:1701.06552},
year = {2017}
}
Comments
Contribution to the proceedings of the "INdAM Meeting Complex and Symplectic Geometry" held in Cortona 2016