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.
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.
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@article{CRMATH_2018__356_3_327_0,
author = {Ludwig, Ursula},
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},
url = {https://www.numdam.org/articles/10.1016/j.crma.2018.01.012/}
}
TY - JOUR AU - Ludwig, Ursula TI - An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities JO - Comptes Rendus. Mathématique PY - 2018 SP - 327 EP - 332 VL - 356 IS - 3 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.crma.2018.01.012/ DO - 10.1016/j.crma.2018.01.012 LA - en ID - CRMATH_2018__356_3_327_0 ER -
%0 Journal Article %A Ludwig, Ursula %T An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities %J Comptes Rendus. Mathématique %D 2018 %P 327-332 %V 356 %N 3 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.crma.2018.01.012/ %R 10.1016/j.crma.2018.01.012 %G en %F CRMATH_2018__356_3_327_0
Ludwig, Ursula. 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://www.numdam.org/articles/10.1016/j.crma.2018.01.012/
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