Raphael Ponge

activity

20032026

most citedNoncommutative geometry and lower dimensional volumes in Riemannian geometry

34 citations · 206 across the 41 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.OA2012★ 14 cited

Noncommutative geometry, conformal geometry, and the local equivariant index theorem

Raphael Ponge, Hang Wang

We prove a local index formula in conformal geometry by computing the Connes-Chern character for the conformal Dirac (twisted) spectral triple recently constructed by Connes-Moscov…

math.DG2012★ 2 cited

Conformal invariants from nodal sets. I. Negative Eigenvalues and Curvature Prescription

Yaiza Canzani, Rod Gover, Dmitry Jakobson +1

In this paper, we study conformal invariants that arise from nodal sets and negative eigenvalues of conformally covariant operators; more specifically, the GJMS operators, which in…

math.DG2012★ 3 cited

Nullspaces of Conformally Invariant Operators. Applications to $Q_{k}$ -curvature

Yaiza Canzani, A. Rod Gover, Dmitry Jakobson +1

We study conformal invariants that arise from functions in the nullspace of conformally covariant differential operators. The invariants include nodal sets and the topology of noda…

Noncommutative geometry, conformal geometry, and the local equivariant index theorem

Conformal invariants from nodal sets. I. Negative Eigenvalues and Curvature Prescription

Nullspaces of Conformally Invariant Operators. Applications to Qk​-curvature

Nullspaces of Conformally Invariant Operators. Applications to $Q_{k}$ -curvature