Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds R Ponge American Mathematical Soc., 2008 | 94 | 2008 |
Spectral asymmetry, zeta functions, and the noncommutative residue R Ponge International Journal of Mathematics 17 (09), 1065-1090, 2006 | 50 | 2006 |
A new short proof of the local index formula and some of its applications R Ponge Communications in mathematical physics 241, 215-234, 2003 | 50 | 2003 |
Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry R Ponge Journal of Functional Analysis 252 (2), 399-463, 2007 | 47 | 2007 |
Noncommutative geometry and lower dimensional volumes in Riemannian geometry R Ponge Letters in Mathematical Physics 83, 19-32, 2008 | 45 | 2008 |
The tangent grupoid of a Heisenberg manifold R Ponge Pacific journal of mathematics 227 (1), 151-175, 2006 | 39 | 2006 |
Pseudodifferential calculus on noncommutative tori, II. Main properties H Ha, G Lee, R Ponge International Journal of Mathematics 30 (08), 1950034, 2019 | 32 | 2019 |
Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals H Ha, G Lee, R Ponge International Journal of Mathematics 30 (08), 1950033, 2019 | 29 | 2019 |
Tangent maps and tangent groupoid for Carnot manifolds W Choi, R Ponge Differential Geometry and its Applications 62, 136-183, 2019 | 26 | 2019 |
Traces on pseudodifferential operators and sums of commutators R Ponge Journal d'Analyse Mathématique 110 (1), 1-30, 2010 | 23 | 2010 |
Noncommutative geometry and conformal geometry. I. Local index formula and conformal invariants R Ponge, H Wang Journal of Noncommutative Geometry 12 (4), 1573-1639, 2018 | 19 | 2018 |
Conformal invariants from nodal sets. I. Negative eigenvalues and curvature prescription Y Canzani, R Gover, D Jakobson, R Ponge International Mathematics Research Notices 2014 (9), 2356-2400, 2014 | 19 | 2014 |
Noncommutative geometry and conformal geometry, II. Connes–Chern character and the local equivariant index theorem R Ponge, H Wang Journal of Noncommutative Geometry 10 (1), 307-378, 2016 | 18 | 2016 |
Calcul hypoelliptique sur les variétés de Heisenberg, résidu non commutatif et géométrie pseudo-hermitienne RS Ponge Paris 11, 2000 | 18 | 2000 |
Calcul fonctionnel sous-elliptique et résidu non commutatif sur les variétés de Heisenberg R Ponge Comptes Rendus de l'Academie des Sciences Series I Mathematics 332 (7), 611-614, 2001 | 16 | 2001 |
Laplace–Beltrami operators on noncommutative tori H Ha, R Ponge Journal of Geometry and Physics 150, 103594, 2020 | 15 | 2020 |
Noncommutative residue invariants for CR and contact manifolds R Ponge Walter de Gruyter 2008 (614), 117-151, 2008 | 15 | 2008 |
Connes' integration and Weyl's laws R Ponge Journal of Noncommutative Geometry 17 (2), 719-767, 2023 | 14 | 2023 |
Privileged coordinates and nilpotent approximation of Carnot manifolds, I. General results W Choi, R Ponge Journal of Dynamical and Control Systems 25 (1), 109-157, 2019 | 13 | 2019 |
Cyclic homology and group actions R Ponge Journal of Geometry and Physics 123, 30-52, 2018 | 9 | 2018 |