[Une extension d'un résultat de Cheeger et Müller pour un espace à singularités coniques isolées]
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.
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@article{CRMATH_2018__356_3_327_0,
author = {Ursula Ludwig},
title = {An extension of a theorem by {Cheeger} and {M\"uller} to spaces with isolated conical singularities},
journal = {Comptes Rendus. Math\'ematique},
pages = {327--332},
publisher = {Elsevier},
volume = {356},
number = {3},
year = {2018},
doi = {10.1016/j.crma.2018.01.012},
language = {en},
}
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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