# zbMATH — the first resource for mathematics

## Debord, Claire

Compute Distance To:
 Author ID: debord.claire Published as: Debord, Claire
 Documents Indexed: 16 Publications since 2000

#### Co-Authors

 4 single-authored 6 Lescure, Jean-Marie 6 Skandalis, Georges 1 Nistor, Victor 1 Rochon, Frédéric
all top 5

#### Serials

 2 Journal of Geometry and Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Bulletin des Sciences Mathématiques 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Geometry & Topology 1 Münster Journal of Mathematics
all top 5

#### Fields

 14 Global analysis, analysis on manifolds (58-XX) 7 $$K$$-theory (19-XX) 7 Functional analysis (46-XX) 6 Topological groups, Lie groups (22-XX) 3 Manifolds and cell complexes (57-XX) 2 Differential geometry (53-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

14 Publications have been cited 123 times in 67 Documents Cited by Year
Holonomy groupoids of singular foliations. Zbl 1034.58017
Debord, Claire
2001
Adiabatic groupoid, crossed product by $$\mathbb R_+^\ast$$ and pseudodifferential calculus. Zbl 1300.58007
Debord, Claire; Skandalis, Georges
2014
Pseudodifferential operators on manifolds with fibred corners. (Opérateurs pseudodifférentiels sur les variétés à coins fibrés.) Zbl 1377.58025
Debord, Claire; Lescure, Jean-Marie; Rochon, Frédéric
2015
Groupoids and an index theorem for conical pseudo-manifolds. Zbl 1169.58005
Debord, Claire; Lescure, Jean-Marie; Nistor, Victor
2009
$$K$$-duality for pseudomanifolds with isolated singularities. Zbl 1065.58014
Debord, Claire; Lescure, Jean-Marie
2005
Index theory and groupoids. Zbl 1213.81209
Debord, Claire; Lescure, Jean-Marie
2010
$$K$$-duality for stratified pseudomanifolds. Zbl 1159.19303
Debord, Claire; Lescure, Jean-Marie
2009
Longitudinal smoothness of the holonomy groupoid. Zbl 1285.53019
Debord, Claire
2013
Local integration of Lie algebroids. Zbl 1007.22008
Debord, Claire
2001
Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps. Zbl 1393.58013
Debord, Claire; Skandalis, Georges
2018
Pseudodifferential extensions and adiabatic deformation of smooth groupoid actions. Zbl 1327.58021
Debord, Claire; Skandalis, Georges
2015
Holonomy groupoids for singular foliations. (Groupoïdes d’holonomie de feuilletages singuliers.) Zbl 0948.57022
Debord, Claire
2000
$$K$$-duality for pseudomanifolds with an isolated singularity. Zbl 1040.19001
Debord, Claire; Lescure, Jean-Marie
2003
Stability of Lie groupoid $$C^\ast$$-algebras. Zbl 1339.58007
Debord, Claire; Skandalis, Georges
2016
Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps. Zbl 1393.58013
Debord, Claire; Skandalis, Georges
2018
Stability of Lie groupoid $$C^\ast$$-algebras. Zbl 1339.58007
Debord, Claire; Skandalis, Georges
2016
Pseudodifferential operators on manifolds with fibred corners. (Opérateurs pseudodifférentiels sur les variétés à coins fibrés.) Zbl 1377.58025
Debord, Claire; Lescure, Jean-Marie; Rochon, Frédéric
2015
Pseudodifferential extensions and adiabatic deformation of smooth groupoid actions. Zbl 1327.58021
Debord, Claire; Skandalis, Georges
2015
Adiabatic groupoid, crossed product by $$\mathbb R_+^\ast$$ and pseudodifferential calculus. Zbl 1300.58007
Debord, Claire; Skandalis, Georges
2014
Longitudinal smoothness of the holonomy groupoid. Zbl 1285.53019
Debord, Claire
2013
Index theory and groupoids. Zbl 1213.81209
Debord, Claire; Lescure, Jean-Marie
2010
Groupoids and an index theorem for conical pseudo-manifolds. Zbl 1169.58005
Debord, Claire; Lescure, Jean-Marie; Nistor, Victor
2009
$$K$$-duality for stratified pseudomanifolds. Zbl 1159.19303
Debord, Claire; Lescure, Jean-Marie
2009
$$K$$-duality for pseudomanifolds with isolated singularities. Zbl 1065.58014
Debord, Claire; Lescure, Jean-Marie
2005
$$K$$-duality for pseudomanifolds with an isolated singularity. Zbl 1040.19001
Debord, Claire; Lescure, Jean-Marie
2003
Holonomy groupoids of singular foliations. Zbl 1034.58017
Debord, Claire
2001
Local integration of Lie algebroids. Zbl 1007.22008
Debord, Claire
2001
Holonomy groupoids for singular foliations. (Groupoïdes d’holonomie de feuilletages singuliers.) Zbl 0948.57022
Debord, Claire
2000
all top 5

#### Cited by 71 Authors

 9 Debord, Claire 8 Lescure, Jean-Marie 7 Androulidakis, Iakovos 7 Skandalis, Georges 5 Carrillo-Rouse, Paulo 5 Nistor, Victor 5 Rochon, Frédéric 5 Zambon, Marco 4 Qiao, Yu 3 Bohlen, Karsten 3 Campos de Carvalho, Catarina 2 Albin, Pierre 2 Julg, Pierre 2 Laurent-Gengoux, Camille 2 Monthubert, Bertrand 2 van Erp, Erik 2 Wang, Bailing 2 Zenobi, Vito Felice 1 Álvarez López, Jesús A. 1 Asuke, Taro 1 Bursztyn, Henrique 1 Calaza, Manuel 1 Choi, Woocheol 1 Colman, Hellen 1 Côme, Rémi 1 Conlon, Ronan J. 1 Dave, Shantanu 1 Degeratu, Anda 1 Drewnik, Monika 1 Franco, Carlos 1 Garmendia, Alfonso 1 Gell-Redman, Jesse 1 Gomez-Aparicio, Maria-Paula 1 Gorokhovsky, Alexander 1 Gualtieri, Marco 1 Haller, Stefan 1 Hunsicker, Eugenie 1 Kaad, Jens 1 Kottke, Chris 1 Lavau, Sylvain 1 Lê Hông Vân 1 Legrand, André 1 Li, Hengguang 1 Li, Songhao 1 MacDonald, Lachlan Ewen 1 Martins, Rachel A. Dawe 1 Meyer, Yves F. 1 Miller, Tomasz 1 Monk, Andrew F. 1 Pasternak-Winiarski, Zbigniew 1 Piazza, Paolo 1 Ponge, Raphaël S. 1 Poutriquet, David 1 Pym, Brent 1 Radko, Olga 1 Rouse, Paulo Carillo 1 Ryvkin, Leonid 1 Savin, Anton Yur’evich 1 Schrohe, Elmar 1 Sher, David A. 1 So, Bing Kwan 1 Somberg, Petr 1 Strobl, Thomas 1 Troitskiĭ, Evgeniĭ Vadimovich 1 Valette, Alain 1 van Suijlekom, Walter Daniël 1 Vanžura, Jiří 1 Vassout, Stéphane 1 Voigt, Christian 1 Yamashita, Mayuko 1 Yuncken, Robert
all top 5

#### Cited in 40 Serials

 6 Advances in Mathematics 5 Journal of Geometry and Physics 3 Journal für die Reine und Angewandte Mathematik 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales de l’Institut Fourier 2 Journal of Functional Analysis 2 Results in Mathematics 2 Annals of Global Analysis and Geometry 2 The Journal of Geometric Analysis 2 Documenta Mathematica 2 Geometry & Topology 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of $$K$$-Theory 2 Annals of $$K$$-Theory 1 International Journal of Modern Physics A 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica Vietnamica 1 Integral Equations and Operator Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Chinese Annals of Mathematics. Series B 1 $$K$$-Theory 1 Differential Geometry and its Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Russian Journal of Mathematical Physics 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Central European Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Complex Analysis and Operator Theory 1 Journal of Noncommutative Geometry 1 Journal of Topology and Analysis 1 Annales Mathématiques du Québec 1 Journal de l’École Polytechnique – Mathématiques
all top 5

#### Cited in 21 Fields

 49 Global analysis, analysis on manifolds (58-XX) 21 $$K$$-theory (19-XX) 21 Functional analysis (46-XX) 18 Differential geometry (53-XX) 17 Topological groups, Lie groups (22-XX) 11 Manifolds and cell complexes (57-XX) 9 Operator theory (47-XX) 6 Partial differential equations (35-XX) 4 Algebraic topology (55-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)