McDuff, Dusa Some canonical cohomology classes on groups of volume preserving diffeomorphisms. (English) Zbl 0522.57029 Trans. Am. Math. Soc. 275, 345-356 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 7 Documents MSC: 57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology 58D05 Groups of diffeomorphisms and homeomorphisms as manifolds 58B05 Homotopy and topological questions for infinite-dimensional manifolds 58H10 Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) Keywords:cohomology classes on groups of volume preserving diffeomorphisms; group of compactly supported diffeomorphisms which preserve a smooth volume form; foliation; classifying spaces for foliated bundles PDF BibTeX XML Cite \textit{D. McDuff}, Trans. Am. Math. Soc. 275, 345--356 (1983; Zbl 0522.57029) Full Text: DOI OpenURL References: [1] Augustin Banyaga, Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique, Comment. Math. Helv. 53 (1978), no. 2, 174 – 227 (French). · Zbl 0393.58007 [2] R. E. Greene and K. Shiohoma, Diffeomorphisms and volume preserving embeddings of non-compact manifolds, Trans. Amer. Math. Soc. 225 (1979), 403-414. · Zbl 0418.58002 [3] Daniel Henry Gottlieb, Fibre bundles and the Euler characteristic, J. Differential Geometry 10 (1975), 39 – 48. · Zbl 0294.55009 [4] André Haefliger, Homotopy and integrability, Manifolds – Amsterdam 1970 (Proc. Nuffic Summer School), Lecture Notes in Mathematics, Vol. 197, Springer, Berlin, 1971, pp. 133 – 163. [5] André Haefliger, Cohomology of Lie algebras and foliations, Differential topology, foliations and Gelfand-Fuks cohomology (Proc. Sympos., Pontifícia Univ. Católica, Rio de Janeiro, 1976) Springer, Berlin, 1978, pp. 1 – 12. Lecture Notes in Math., Vol. 652. [6] André Haefliger, Whitehead products and differential forms, Differential topology, foliations and Gelfand-Fuks cohomology (Proc. Sympos., Pontifícia Univ. Católica, Rio de Janeiro, 1976) Lecture Notes in Math., vol. 652, Springer, Berlin, 1978, pp. 13 – 24. [7] Steven Hurder, Exotic classes for measured foliations, Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 2, 389 – 391. · Zbl 0517.57012 [8] Dusa McDuff, Local homology of groups of volume preserving diffeomorphisms. I, Ann. Sci. École Norm. Sup. (4) 15 (1982), no. 4, 609 – 648 (1983). · Zbl 0577.58005 [9] -, Local homology of groups of volume preserving diffeomorphisms III, preprint, 1982. · Zbl 0577.58005 [10] Dusa McDuff, On groups of volume-preserving diffeomorphisms and foliations with transverse volume form, Proc. London Math. Soc. (3) 43 (1981), no. 2, 295 – 320. · Zbl 0411.57028 [11] Guy Rousseau, Difféomorphismes d’une variété symplectique non compacte, Comment. Math. Helv. 53 (1978), no. 4, 622 – 633 (French). · Zbl 0393.53017 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.