Exponential coordinates and regularity of groupoid heat kernels

DOI10.2478/s11533-013-0338-1zbMath1288.58011arXiv1210.4729OpenAlexW1987839988MaRDI QIDQ2440572

Bing Kwan So

Publication date: 19 March 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4729

zbMATH Keywords

singular differential operatorsgroupoid heat kernelspseudo-differential operators on differential groupoids

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Elliptic equations on manifolds, general theory (58J05) Pseudogroups and differentiable groupoids (58H05)

Related Items (2)

Getzler rescaling via adiabatic deformation and a renormalized index formula ⋮ Analysis on singular spaces: Lie manifolds and operator algebras

Cites Work

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• Pseudodifferential operators on differential groupoids
• Groupoids and the integration of Lie algebroids
• Lie algebroids, holonomy and characteristic classes
• Bismut superconnections and the Chern character for Dirac operators on foliated manifolds
• On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth
• A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem

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