ANALYTIC TORSION, DYNAMICAL ZETA FUNCTION, AND THE FRIED CONJECTURE FOR ADMISSIBLE TWISTS - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

ANALYTIC TORSION, DYNAMICAL ZETA FUNCTION, AND THE FRIED CONJECTURE FOR ADMISSIBLE TWISTS

Résumé

We show an equality between the analytic torsion and the absolute value at the zero point of the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted by an acyclic flat vector bundle obtained by the restriction of a representation of the underlying Lie group. This generalises author's previous result for unitarily flat vector bundles, and the results of Bröcker, Müller, and Wotzke on closed hyperbolic manifolds.
Fichier principal
Vignette du fichier
Fried_Conj_BMZ_2.pdf (325.35 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02935108 , version 1 (10-09-2020)

Identifiants

  • HAL Id : hal-02935108 , version 1

Citer

Shu Shen. ANALYTIC TORSION, DYNAMICAL ZETA FUNCTION, AND THE FRIED CONJECTURE FOR ADMISSIBLE TWISTS. 2020. ⟨hal-02935108⟩
28 Consultations
52 Téléchargements

Partager

Gmail Facebook X LinkedIn More