no. 2
Differential geometry
The hypoelliptic Laplacian, analytic torsion and Cheeger–Müller Theorem
[Laplacien hypoelliptique, torsion analytique et théorème de Cheeger–Müller]

Présenté par : Jean-Michel Bismut

Shen, Shu1
1 Département de mathématique, Université Paris-Sud, bâtiment 425, 91405 Orsay cedex, France
Comptes Rendus. Mathématique, Tome 352 (2014) no. 2, pp. 153-156.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.12.012
Shen, Shu 1

1 Département de mathématique, Université Paris-Sud, bâtiment 425, 91405 Orsay cedex, France 
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Shen, Shu. The hypoelliptic Laplacian, analytic torsion and Cheeger–Müller Theorem. Comptes Rendus. Mathématique, Tome 352 (2014) no. 2, pp. 153-156. doi : 10.1016/j.crma.2013.12.012. http://www.numdam.org/articles/10.1016/j.crma.2013.12.012/

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