Analytic torsion of generic rank two distributions in dimension five

Autor:	Haller, Stefan
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Mathematics - Geometric Topology Mathematics - Spectral Theory 58J52 (primary) and 53C17 58A30 58J10 58J42
Zdroj:	J. Geom. Anal. 32, 248 (2022)
Druh dokumentu:	Working Paper
DOI:	10.1007/s12220-022-00987-z
Popis:	We propose an analytic torsion for the Rumin complex associated with generic rank two distributions on closed 5-manifolds. This torsion behaves as expected with respect to Poincare duality and finite coverings. We establish anomaly formulas, expressing the dependence on the sub-Riemannian metric and the 2-plane bundle in terms of integrals over local quantities. For certain nilmanifolds we are able to show that this torsion coincides with the Ray-Singer analytic torsion, up to a constant. Comment: 60 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.02062 Zobrazit plný text záznamu View this record from Arxiv