Geodesic
Equivariant de Rham torsions
Jean-Michel Bismut1 ; Sebastian Goette2
1 Département de Mathématiques, Université Paris-Sud, 91405 Orsay, France
2 NWF 1 Mathematik, Universität Regensburg, 93040 Regensburg, Germany
Annals of mathematics, Tome 159 (2004) no. 1, pp. 53-216

Voir la notice de l'article provenant de la source Annals of Mathematics website

The purpose of this paper is to give an explicit local formula for the difference of two natural versions of equivariant analytic torsion in de Rham theory. This difference is the sum of the integral of a Chern-Simons current and of a new invariant, the \( V \)-invariant of an odd dimensional manifold equipped with an action of a compact Lie group. The \( V \)-invariant localizes on the critical manifolds of invariant Morse-Bott functions.

DOI : 10.4007/annals.2004.159.53

Jean-Michel Bismut 1 ; Sebastian Goette 2

1 Département de Mathématiques, Université Paris-Sud, 91405 Orsay, France
2 NWF 1 Mathematik, Universität Regensburg, 93040 Regensburg, Germany 
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Jean-Michel Bismut; Sebastian Goette. Equivariant de Rham torsions. Annals of mathematics, Tome 159 (2004) no. 1, pp. 53-216. doi: 10.4007/annals.2004.159.53

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