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Statut |
Confirmé |
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Série |
SEM-DARBOUX |
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Domaines |
hep-th |
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Date |
Mercredi 6 Avril 2011 |
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Heure |
15:30 |
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Institut |
LPTHE |
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Salle |
bibliothèque du LPTHE, tour 13, 4ème étage |
|
Nom de l'orateur |
Vergne |
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Prenom de l'orateur |
Michèle |
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Addresse email de l'orateur |
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Institution de l'orateur |
IM Jussieu |
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Titre |
Duistermaat-Heckman measures and the equivariant index |
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Résumé |
Let $N$ be a symplectic manifold,
with a Hamiltonian action of the circle group $G$ and moment map $\mu:N\to R$.
Assume that the level sets of $\mu$ are compact manifolds.
The Duistermaat-Heckman measure is a locally polynomial function on $R$ (so called a spline) which measures the symplectic volume of the level sets $\mu^{-1}(t)/G$.
Similarly, we will show that an elliptic (or transversally elliptic) operator $D$
on a $G$-manifold $M$ produces a locally polynomial function on $R$ via the ``infinitesimal index" map.
The index of $D$ can be deduced from the knowledge of the infinitesimal index. |
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Numéro de preprint arXiv |
1012.1049 |
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Commentaires |
Horaire inhabituel ! |
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Fichiers attachés |
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