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References (26)
-
Raphael Ponge (2006)
The tangent grupoid of a Heisenberg manifoldPacific Journal of Mathematics, 227
-
I. Moerdijk, J. Mrčun (2003)
Introduction to Foliations and Lie Groupoids -
C. Debord, J. Lescure, Frédéric Rochon (2011)
Pseudodifferential operators on manifolds with fibred cornersarXiv: Differential Geometry
-
B. Helffer, J. Nourrigat (1979)
Caracterisation des operateurs hypoelliptiques homogenesCommunications in Partial Differential Equations, 4
-
Andrew Lesniewski (1997)
Noncommutative Geometry -
B. Ammann, R. Lauter, V. Nistor
Institute for Mathematical Physics Pseudodifferential Operators on Manifolds with a Lie Structure at Infinity Pseudodifferential Operators on Manifolds with a Lie Structure at Infinity -
M. Benameur, V. Nistor (2002)
Homology of algebras of families of pseudodifferential operatorsJournal of Functional Analysis, 205
-
A. Knapp (1988)
Lie groups beyond an introduction -
(1982)
Lie filtrations and pseudo-differential operators', Unpublished manuscript -
E. Erp, Robert Yuncken (2015)
A groupoid approach to pseudodifferential operatorsarXiv: Differential Geometry
-
A. Connes (1979)
Sur la theorie non commutative de l’integration -
V. Nistor, A. Weinstein, P. Xu (1997)
Pseudodifferential operators on differential groupoidsPacific Journal of Mathematics, 189
-
Noncommutative microlocal analysis, part I (revised version -
C. Debord (2001)
HOLONOMY GROUPOIDS OF SINGULAR FOLIATIONSJournal of Differential Geometry, 58
-
Bertrand Monthubert, F. Pierrot (1997)
Indice analytique et groupoïdes de LieComptes Rendus De L Academie Des Sciences Serie I-mathematique, 325
-
Woocheol Choi, Raphael Ponge (2015)
Privileged coordinates and tangent groupoid for Carnot manifoldsarXiv: Differential Geometry
-
Raphael Ponge (2004)
The tangent groupoid of a Heisenberg manifoldarXiv: Differential Geometry
-
(2015)
and R -
A. Sadegh, N. Higson (2016)
Euler-Like Vector Fields, Deformation Spaces and Manifolds with Filtered StructureDocumenta Mathematica
-
(1979)
Caracterisation des opérateurs hypoellip-tiques homogènes invariants à gauche sur un groupe de Lie nilpotent gradué -
Bertrand Monthubert (1997)
Pseudodifferential calculus on manifolds with corners and groupoids, 127
-
V. Nistor (2000)
GROUPOIDS AND THE INTEGRATION OF LIE ALGEBROIDSJournal of The Mathematical Society of Japan, 52
-
M. Christ, D. Geller, P. Głowacki, Larry Polin (1992)
Pseudodifferential operators on groups with dilationsDuke Mathematical Journal, 68
-
G. Folland, E. Stein (1974)
Estimates for the complex and analysis on the heisenberg groupCommunications on Pure and Applied Mathematics, 27
-
E. Erp (2008)
The Atiyah-Singer index formula for subelliptic operators on contact manifolds. Part IAnnals of Mathematics, 171
-
Ammann (2007)
Pseudodifferential operators on manifolds with a Lie structure at infinityAnn. of Math. (2), 165
- Publisher
- Wiley
- Copyright
- © 2017 London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/blms.12096
- Publisher site
- See Article on Publisher Site
Abstract
We give an intrinsic (coordinate‐free) construction of the tangent groupoid of a filtered manifold. This is an analogue of Connes' tangent groupoid which is pertinent for the analysis of certain subelliptic differential operators. It is a deformation of the pair groupoid to a bundle of nilpotent groups. We also describe the analogous construction in the context of the adiabatic groupoids of a filtered Lie groupoid.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Dec 1, 2017
Keywords: ; ; ; ;