On the tangent groupoid of a filtered manifold

TL;DR

This paper presents an intrinsic, coordinate-free construction of the tangent groupoid for filtered manifolds, advancing the understanding of their geometric and algebraic structures.

Contribution

It introduces a novel, intrinsic construction of the tangent groupoid that does not rely on coordinate systems, applicable to filtered manifolds.

Findings

Provides a coordinate-free framework for tangent groupoids

Enhances understanding of filtered manifold structures

Lays groundwork for further geometric analysis

Abstract

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