Comptes Rendus
no. 2
Differential geometry
The hypoelliptic Laplacian, analytic torsion and Cheeger–Müller Theorem

Presented by: Jean-Michel Bismut

Shu Shen1
1 Département de mathématique, Université Paris-Sud, bâtiment 425, 91405 Orsay cedex, France
Comptes Rendus. Mathématique, Volume 352 (2014) no. 2, pp. 153-156.

The purpose of this Note is to prove a formula relating the hypoelliptic Ray–Singer metric and the Milnor metric on the determinant of the cohomology of a compact Riemannian manifold by a Witten-like deformation of the hypoelliptic Laplacian in de Rham theory.

Lʼobjet de cette Note est de démontrer une formule reliant les métriques de Ray–Singer hypoelliptique et de Milnor sur le déterminant de la cohomologie dʼune variété riemannienne compacte par une déformation à la Witten du laplacien hypoelliptique en théorie de de Rham.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.12.012

Shu Shen 1

1 Département de mathématique, Université Paris-Sud, bâtiment 425, 91405 Orsay cedex, France 
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Shu Shen. The hypoelliptic Laplacian, analytic torsion and Cheeger–Müller Theorem. Comptes Rendus. Mathématique, Volume 352 (2014) no. 2, pp. 153-156. doi : 10.1016/j.crma.2013.12.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.12.012/

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