Publication:

The holonomy groupoid of a singular foliation

Date

Date

Date
2009
Journal Article
Published version

Citations

Citation copied

Androulidakis, I., & Skandalis, G. (2009). The holonomy groupoid of a singular foliation. Journal Für Die Reine Und Angewandte Mathematik, 626, 1–37. https://doi.org/10.1515/CRELLE.2009.001

Abstract

Abstract

Abstract

We construct the holonomy groupoid of any singular foliation. In the regular case this groupoid coincides with the usual holonomy groupoid of Winkelnkemper ([H. E. Winkelnkemper, The graph of a foliation, Ann. Glob. Anal. Geom. 1 (3) (1983), 51–75.]); the same holds in the singular cases of [J. Pradines, How to define the differentiable graph of a singular foliation, C. Top. Geom. Diff. Cat. XXVI(4) (1985), 339–381.], [B. Bigonnet, J. Pradines, Graphe d'un feuilletage singulier, C. R. Acad. Sci. Paris 300 (13) (1985), 439–442.], [C. D

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220 since deposited on 2009-11-11
Acq. date: 2025-11-13

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138 since deposited on 2009-11-11
Acq. date: 2025-11-13

Additional indexing

Creators (Authors)

  • Androulidakis, I
    affiliation.icon.alt
  • Skandalis, G
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
626

Page range/Item number

Page range/Item number

Page range/Item number
1

Page end

Page end

Page end
37

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Language

Language

Language
English

Publication date

Publication date

Publication date
2009-01

Date available

Date available

Date available
2009-11-11

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0075-4102

OA Status

OA Status

OA Status
Green

Metrics

Downloads

220 since deposited on 2009-11-11
Acq. date: 2025-11-13

Views

138 since deposited on 2009-11-11
Acq. date: 2025-11-13

Citations

Citation copied

Androulidakis, I., & Skandalis, G. (2009). The holonomy groupoid of a singular foliation. Journal Für Die Reine Und Angewandte Mathematik, 626, 1–37. https://doi.org/10.1515/CRELLE.2009.001

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