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arXiv · 1010.3450

Partial holomorphic connections and extension of foliations

Isaia Nisoli
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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.

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Isaia Nisoli. 2010-10-17. Partial holomorphic connections and extension of foliations. https://doi.org/10.1215/21562261-1625190

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