An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities

Ursula Ludwig

doi:10.1016/j.crma.2018.01.012

Differential geometry

An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities
[Une extension d'un résultat de Cheeger et Müller pour un espace à singularités coniques isolées]

Présenté par : the Editorial Board

Ursula Ludwig ¹

¹ Universität Duisburg-Essen, Fakultät für Mathematik, 45117 Essen, Germany

Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 327-332.

Résumé
Abstract

Le but de cette note est d'établir un théorème de Cheeger–Müller pour un espace a singularités coniques isolées en généralisant la preuve de Bismut et Zhang. Les outils utilisés dans la preuve sont les techniques d'indice local et la déformation de Witten.

The aim of this note is to extend a theorem by Cheeger and Müller to spaces with isolated conical singularities by generalising the proof of Bismut and Zhang to the singular setting. The main tools in this approach are the Witten deformation and local index techniques.

Reçu le : 2017-08-25
Accepté le : 2018-01-23
Publié le : 2018-02-01

DOI : 10.1016/j.crma.2018.01.012

Affiliations des auteurs :

Ursula Ludwig ¹

¹ Universität Duisburg-Essen, Fakultät für Mathematik, 45117 Essen, Germany

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Ursula Ludwig. An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities. Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 327-332. doi : 10.1016/j.crma.2018.01.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.01.012/

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