Pure and Applied Mathematics Quarterly

Volume 19 (2023)

Number 4

Special Issue in honor of Victor Guillemin

Guest Editors: Yael Karshon, Richard Melrose, Gunther Uhlmann, and Alejandro Uribe

Singular Lie filtrations and weightings

Pages: 2133 – 2168

DOI: https://dx.doi.org/10.4310/PAMQ.2023.v19.n4.a14


Yiannis Loizides (Department of Mathematical Sciences, George Mason University, Fairfax, Virginia, U.S.A.)

Eckhard Meinrenken (Department of Mathematics, University of Toronto, Ontario, Canada)


We study weightings (a.k.a. quasi-homogeneous structures) arising from manifolds with singular Lie filtrations. This generalizes constructions of Choi–Ponge, Van Erp–Yuncken, and Haj–Higson for (regular) Lie filtrations.

2010 Mathematics Subject Classification

Primary 22A22, 53C17. Secondary 58A30.

Received 2 January 2022

Accepted 2 February 2023

Published 20 November 2023