2016/11/30 by Erik van Erp, Robert Yuncken · 1 citation
Mathematics · #Advanced Operator Algebra Research #Algebra over a field #Computer science #Geometric and Algebraic Topology #Geometry #Homotopy and Cohomology in Algebraic Topology #Library science #Mathematics #Pascal (unit) #Programming language #Pure mathematics #Tangent #math.DG #msc:22A22 #msc:35S05 #msc:47G30 #msc:58H05 #msc:58J40
paper · pdf · doi:10.1112/blms.12096
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
arxiv created 2017/07/11 · openalex publication_date 2017/10/06 · arxiv updated 2017/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We give an intrinsic (coordinate-free) construction of the tangent groupoid of a filtered manifold. This is an analogue of Connes' tangent groupoid which is pertinent for the analysis of certain subelliptic differential operators. It is a deformation of the pair groupoid to a bundle of nilpotent groups. We also describe the analogous construction in the context of the adiabatic groupoids of a filtered Lie groupoid.