3 papers
math.DG2025
On the eta invariant of (2,3,5) distributions
Stefan Haller
We consider the Rumin complex associated with a generic rank two distribution on a closed 5-manifold. The Rumin differential in middle degrees gives rise to a self-adjoint differen…
math.DG2024
Analytic torsion of nilmanifolds with (2,3,5) distributions
Stefan Haller
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.
math.SP2024
Regularized determinants of the Rumin complex in irreducible unitary representations of the (2,3,5) nilpotent Lie group
Stefan Haller
We study the Rumin differentials of the 5-dimensional graded nilpotent Lie group that appears as osculating group of generic rank two distributions in dimension five. In irreducibl…