Determinants of Laplacians on discretizations of flat surfaces and analytic torsion

Siarhei Finski

doi:10.5802/CRMATH.94

Determinants of Laplacians on discretizations of flat surfaces and analytic torsion

Titre traduit de la contribution: Déterminants de laplaciens sur les discrétisations de surfaces plates et torsion analytique.

Siarhei Finski

LTHE (UMR 5564 CNRS/IRD/Université de Grenoble)

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

4 Citations (Scopus)

Résumé

We study the asymptotic expansion of the determinants of the graph Laplacians associated to discretizations of a half-translation surface endowed with a unitary flat vector bundle. By doing so, over the discretizations, we relate the asymptotic expansion of the number of spanning trees and the partition function of cycle-rooted spanning forests, weighted by the monodromy of the unitary connection of the vector bundle, to the corresponding zeta-regularized determinants.

Titre traduit de la contribution	Déterminants de laplaciens sur les discrétisations de surfaces plates et torsion analytique.
langue originale	Anglais
Pages (de - à)	743-751
Nombre de pages	9
journal	Comptes Rendus Mathematique
Volume	358
Numéro de publication	6
Les DOIs	https://doi.org/10.5802/CRMATH.94
état	Publié - 1 janv. 2020
Modification externe	Oui

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10.5802/CRMATH.94

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Determinants of Laplacians on discretizations of flat surfaces and analytic torsion

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