Transcendental simplicial volumes

Abstract

We show that there exist closed manifolds with arbitrarily small transcendental simplicial volumes. Moreover, we exhibit an explicit uncountable family of (transcendental) real numbers that are not realised as the simplicial volume of a closed manifold.

arXiv commentFinal version. To appear in Annales de l'institut Fourier

Cited by in corpus (1)

• On the simplicial volume and the Euler characteristic of (aspherical) manifolds