Analytic torsion of nilmanifolds with (2,3,5) distributions
Differential Geometry
2025-09-05 v2 Representation Theory
Spectral Theory
Abstract
We consider generic rank two distributions on 5-dimensional nilmanifolds, and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.
Cite
@article{arxiv.2311.16647,
title = {Analytic torsion of nilmanifolds with (2,3,5) distributions},
author = {Stefan Haller},
journal= {arXiv preprint arXiv:2311.16647},
year = {2025}
}
Comments
v2: minor corrections in the proof of Lemma 9; dropped Remark 4; fixed some typos; no substantial changes; still 32 pages