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Gilles Halbout 《Communications in Mathematical Physics》1999,205(1):53-67
Let M be a symplectic manifold over $ℝ. In [CFS] the authors construct an invariant ϕ in the cyclic cohomology of M for any closed star-product. They compute this invariant in the de Rham complex of M when M=T
*
V. We generalize this result by computing the image of ϕ in the de Rham complex for any symplectic manifold and any star-product
and we show how this invariant is related to the general classification of Kontsevich. The proof uses the Riemann–Roch theorem
for periodic cyclic chains of Nest–Tsygan.
Received: 30 November 1998 / Accepted: 15 February 1999 相似文献
Calcul d'un Invariant de Star-Produit Fermé sur une Variété Symplectique
Received: 30 November 1998 / Accepted: 15 February 1999 相似文献
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《Comptes Rendus Physique》2002,3(1):111-119
Pressure–volume isotherms have been determined for three heterogeneous ‘water–zeolite’ systems. The first two concern hydrophobic purely siliceous zeolites: silicalite-1 (F−) and zeolite β (F−); the third comprises a more hydrophilic commercial zeolite of the type ZSM-5. The P–V diagram for the water–silicalite-1 (F−) system is characterized by a plateau corresponding to the intrusion of water inside the pores of the solid. During the release the phenomenon is reversible. This system, which is able to accumulate and restore superficial energy, constitutes a molecular spring. For zeolite β, the P–V curve displays a plateau during the compression, but during the release, the phenomenon is not reversible. In that case, the system absorbs mechanical energy and acts as a bumper. The third system, based on the more hydrophilic ZSM-5 zeolite shows a linear isotherm without any plateau. These results open new applications perspectives in the field of the energetics for hydrophobic zeolites in contact with water. To cite this article: V. Eroshenko et al., C. R. Physique 3 (2002) 111–119 相似文献