Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial holomorphic connections and extension of foliations   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.

15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex