Tetrahedra of flags, volume and homology of SL(3) - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Geometry & Topology Monographs Année : 2014

Tetrahedra of flags, volume and homology of SL(3)

Résumé

In the paper we define a " volume " for simplicial complexes of flag tetrahedra. This generalizes and unifies the classical volume of hyperbolic manifolds and the volume of CR tetrahe-dra complexes considered in [4, 6]. We describe when this volume belongs to the Bloch group and more generally describe a variation formula in terms of boundary data. In doing so, we recover and generalize results of Neumann-Zagier [13], Neumann [11], and Kabaya [10]. Our approach is very related to the work of Fock and Goncharov [7, 8].
Fichier principal
Vignette du fichier
VolTetra.pdf (770.39 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01370258 , version 1 (22-09-2016)

Identifiants

Citer

Nicolas Bergeron, Elisha Falbel, Antonin Guilloux. Tetrahedra of flags, volume and homology of SL(3). Geometry & Topology Monographs, 2014, 18, ⟨10.2140/gt.2014.18.1911⟩. ⟨hal-01370258⟩
244 Consultations
126 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More