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- W2037249516 abstract "Following Gorokhovsky and Lott and using an extension of the b-pseudodifferential calculus of Melrose, we give a formula for the Chern character of the Dirac index class of a longitudinal Dirac type operators on a foliated manifold with boundary. For this purpose we use the Bismut local index formula in the context of noncommutative geometry. This paper uses heavily the methods and technical results developed by E. Leichtnam and P. Piazza. En suivant A. Gorokhovsky et J. Lott et en utilisant une extension du b-calcul de Melrose, nous donnons une formule pour le caractére de Chern de la classe dʼindice dʼune famille longitudinale dʼopérateurs de type Dirac sur une variété feuilletée à bord. Pour ce faire, nous utilisons la formule locale de lʼindice de Bismut dans le context de la géométrie non-commutative. Cet article utilise de manière essentielle les méthodes et techniques développées par E. Leichtnam et P. Piazza." @default.
- W2037249516 created "2016-06-24" @default.
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- W2037249516 date "2012-03-01" @default.
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- W2037249516 title "A higher index theorem for foliated manifolds with boundary" @default.
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- W2037249516 doi "https://doi.org/10.1016/j.bulsci.2011.06.005" @default.
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