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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.