Leibniz cohomology for differentiable manifolds
Lodder, Jerry M.
Annales de l'Institut Fourier, Tome 48 (1998), p. 73-95 / Harvested from Numdam
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On propose une définition de la cohomologie de Leibniz, HL * , pour les variétés différentiables. Alors HL * devient une version non-commutative de la cohomologie de Gelfand-Fuks. Les calculs de HL * (R n ;R) se réduisent à ceux des champs de vecteurs formels, et peuvent être identifiés avec des invariants de feuilletages.

We propose a definition of Leibniz cohomology, HL * , for differentiable manifolds. Then HL * becomes a non-commutative version of Gelfand-Fuks cohomology. The calculations of HL * (R n ;R) reduce to those of formal vector fields, and can be identified with certain invariants of foliations.

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     author = {Lodder, Jerry M.},
     title = {Leibniz cohomology for differentiable manifolds},
     journal = {Annales de l'Institut Fourier},
     volume = {48},
     year = {1998},
     pages = {73-95},
     doi = {10.5802/aif.1611},
     mrnumber = {99b:17003},
     zbl = {0912.17001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1998__48_1_73_0}
}

Lodder, Jerry M. Leibniz cohomology for differentiable manifolds. Annales de l'Institut Fourier, Tome 48 (1998) pp. 73-95. doi : 10.5802/aif.1611. http://gdmltest.u-ga.fr/item/AIF_1998__48_1_73_0/

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