The heat asymptotics on filtered manifolds

DOI10.1007/s12220-018-00137-4zbMath1434.58010arXiv1712.07104OpenAlexW3103869334WikidataQ89735481 ScholiaQ89735481MaRDI QIDQ2303795

Shantanu Dave, Stefan Haller

Publication date: 5 March 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07104

zbMATH Keywords

zeta functionheat kernel expansionhypoelliptic operatorfiltered manifoldnon-commutative residuegeneric rank-two distribution in dimension 5

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Noncommutative global analysis, noncommutative residues (58J42) Perturbations of PDEs on manifolds; asymptotics (58J37) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

Analytic torsion of generic rank two distributions in dimension five ⋮ Asymptotics and zeta functions on compact nilmanifolds ⋮ Trivializable and quaternionic subriemannian structures on \({\mathbb{S}}^7\) and subelliptic heat kernel ⋮ Pseudodifferential operators on filtered manifolds as generalized fixed points ⋮ Connes' integration and Weyl's laws ⋮ A groupoid approach to the Wodzicki residue ⋮ Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds ⋮ Towards semi-classical analysis for sub-elliptic operators ⋮ Graded hypoellipticity of BGG sequences

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