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The homology of some groups of diffeomorphisms

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Commentarii Mathematici Helvetici

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References

  1. Cerf, J. Topologie de certains espaces de plongements, Bull. Soc. Math. France,89 (1961), 227–380.

    MATH  MathSciNet  Google Scholar 

  2. Dold, A. andLashof, R. Principal quasifibrations and fibre homotopy equivalence of bundles, Ill. J. Math.,3 (1959), 285–305.

    MATH  MathSciNet  Google Scholar 

  3. Edwards, R. D. andKirby, R. C. Deformations of spaces of imbeddings, Ann. Math.,93 (1971), 63–88.

    Article  MathSciNet  Google Scholar 

  4. Haefliger, A. Homotopy and Integrability, in Springer Lecture Notes #197 (1971), 133–163.

  5. Hausmann, J.-C. andHusemoller, D. Acyclic maps, to appear in Enseignement Math.

  6. Kirby, R. andSiebenmann, L. Foundational essays on topological manifolds, Ann. of Math Studies #88, 1977, Princeton U. Press.

  7. Kister, J. M. Microbundles are fibre bundles, Ann. Math.,80 (1964), 190–199.

    Article  MathSciNet  Google Scholar 

  8. McDuff, D. Foliations and monoids of embeddings, inGeometric Topology, ed. Cantrell, Academic Press (1979), 429–444.

  9. McDuff, D. andSegal, G. B. Homology fibrations and the “group-completion” theorem, Invent. Math.,31 (1976), 279–284.

    Article  MATH  MathSciNet  Google Scholar 

  10. MacLane, S.,Homology, Springer Verlag, New York, 1963.

    MATH  Google Scholar 

  11. Mather, J. N. The vanishing of the homology of certain groups of homeomorphisms, Topology,10 (1971), 297–298.

    Article  MATH  MathSciNet  Google Scholar 

  12. —,Integrability in codimension 1, Comment Math. Helv.,48 (1973), 195–233.

    Article  MATH  MathSciNet  Google Scholar 

  13. Mather, J. N.,On the homology of Haefliger's classifying space, Summer School of Varenna, 1976.

  14. May, J. P. Classifying spaces and fibrations, Mem. Amer. Math. Soc.,155 (1975).

  15. Palais, R. Homotopy theory of infinite dimensional manifolds, Topology,5 (1966), 1–16.

    Article  MATH  MathSciNet  Google Scholar 

  16. Palis, J. andSmale, S. Structural stability theorems, A.M.S. Proceedings of Symposium on Pure Mathematics, vol. XIV, 223–231.

  17. Quillen, D. G. Higher algebraic K-theory I, in Springer Lecture Notes #341, (1973), 75–148.

  18. Segal, G. B. Classifying spaces and spectral sequences, Publ. Math. I.H.E.S.,34 (1968), 105–112.

    MATH  Google Scholar 

  19. —,Categories and cohomology theories, Topology,13 (1974), 293–312.

    Article  MATH  MathSciNet  Google Scholar 

  20. —,Configuration spaces and iterated loop spaces, Invent. Math.,21 (1973), 213–221.

    Article  MATH  MathSciNet  Google Scholar 

  21. —,Classifying spaces related to foliations, Topology,17 (1978), 367–382.

    Article  MATH  MathSciNet  Google Scholar 

  22. Sergeraert, F. BΓ (d'après Mather et Thurston), Sem. Bourbaki no. 524 (1978).

  23. Thurston, W. Foliations and groups of diffeomorphisms, Bull. Amer. Math. Soc.,80 (1974), 304–307.

    Article  MATH  MathSciNet  Google Scholar 

  24. Vogt, R. M. Convenient categories of topological spaces, Arch. Math.,22 (1971), 545–555.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Mathematics Dept., State University of New York at Stony Brook, 11794, Stony Brook New York, N.Y., USA

    Dusa McDuff

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  1. Dusa McDuff
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This paper was written at the Institute for Advanced Study, Princeton, with support from the NSF.

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McDuff, D. The homology of some groups of diffeomorphisms. Commentarii Mathematici Helvetici 55, 97–129 (1980). https://doi.org/10.1007/BF02566677

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  • DOI: https://doi.org/10.1007/BF02566677

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