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math.DGNov 1, 2016
32
citations (OpenAlex)
authors
  • Erik van Erp
  • Robert Yuncken
institutions
  • Dartmouth College
  • Laboratoire de Mathématiques Blaise Pascal
  • Université Clermont Auvergne
arXiv abstractPDF
paper

On the tangent groupoid of a filtered manifold

arXiv:1611.01081 · doi:10.1112/blms.12096

Abstract

We give an intrinsic (coordinate-free) construction of the tangent groupoid of a filtered manifold.

11pages. This paper was formerly part of the preprint arXiv:1511.01041 (version 3). This version involves a significant reorganization. It also adds a section on the adiabatic groupoid of a Lie groupoid with filtered Lie algebroid

Cited by in corpus (13)

  • Graded hypoellipticity of BGG sequences
  • Tangent Maps and Tangent Groupoid for Carnot Manifolds
  • The heat asymptotics on filtered manifolds
  • On the deformation groupoid of the inhomogeneous pseudo-differential Calculus
  • Analytic torsion of generic rank two distributions in dimension five
  • Index theorem for inhomogeneous hypoelliptic differential operators
  • Pseudodifferential operators on filtered manifolds as generalized fixed points
  • The Fredholm property for groupoids is a local property
  • A transverse index theorem in the calculus of filtered manifolds
  • Index theory for Heisenberg elliptic and transversally Heisenberg elliptic operators from KK-theoretic viewpoint
  • Shubin calculi for actions of graded Lie groups
  • On pseudodifferential operators on filtered and multifiltered manifolds
  • Geometric invariance of the semi-classical calculus on nilpotent graded Lie groups
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