Partial holomorphic connections and extension of foliations
Complex Variables
2015-01-14 v2
Abstract
This paper stresses the strong link between the existence of partial holomorphic connections on the normal bundle of a foliation seen as a quotient of the ambient tangent bundle and the extendability of a foliation to an infinitesimal neighborhood of a submanifold. We find the obstructions to extendability and thanks to the theory developed we obtain some new Khanedani-Lehmann-Suwa type index theorems.
Cite
@article{arxiv.1010.3450,
title = {Partial holomorphic connections and extension of foliations},
author = {Isaia Nisoli},
journal= {arXiv preprint arXiv:1010.3450},
year = {2015}
}