Local homology of groups of volume preserving diffeomorphisms. I

Dusa McDuff

Annales scientifiques de l'École Normale Supérieure (1982)

  • Volume: 15, Issue: 4, page 609-648
  • ISSN: 0012-9593

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McDuff, Dusa. "Local homology of groups of volume preserving diffeomorphisms. I." Annales scientifiques de l'École Normale Supérieure 15.4 (1982): 609-648. <http://eudml.org/doc/82107>.

@article{McDuff1982,
author = {McDuff, Dusa},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {topological group; classifying space; local homology; volume preserving diffeomorphisms; compactly supported -preserving diffeomorphisms},
language = {eng},
number = {4},
pages = {609-648},
publisher = {Elsevier},
title = {Local homology of groups of volume preserving diffeomorphisms. I},
url = {http://eudml.org/doc/82107},
volume = {15},
year = {1982},
}

TY - JOUR
AU - McDuff, Dusa
TI - Local homology of groups of volume preserving diffeomorphisms. I
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1982
PB - Elsevier
VL - 15
IS - 4
SP - 609
EP - 648
LA - eng
KW - topological group; classifying space; local homology; volume preserving diffeomorphisms; compactly supported -preserving diffeomorphisms
UR - http://eudml.org/doc/82107
ER -

References

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  1. [1] A. BANYAGA, Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique (Comm. Math. Helv., Vol. 53, 1978, pp. 174-227). Zbl0393.58007MR80c:58005
  2. [2] R. E. GREENE and K. SHIOHAMA, Diffeomorphisms and Volume Preserving Embeddings of Non-Compact Manifolds (Trans. A.M.S., Vol. 255, 1979, pp. 403-414). Zbl0418.58002MR80k:58031
  3. [3] A. HAEFLIGER, Homotopy and Integrability, in : Manifolds, Amsterdam 1970 (Springer Lect. Notes, No. 197, 1971, pp. 133-163). Zbl0215.52403MR44 #2251
  4. [4] J. C. HAUSMANN and D. HUSEMOLLER, Acyclic Maps (Enseign. Math., 1979). Zbl0412.55008MR80k:55044
  5. [5] A. KRYGIN, Continuation of Diffeomorphisms Preserving Volume (Funct. Anal. and Appl., Vol. 5, 1971, pp. 147-150). Zbl0236.57016MR51 #4309
  6. [6] J. MATHER, The Vanishing of the Homology of Certain Groups of Homeomorphisms (Topology, Vol. 10, 1971, pp. 297-298). Zbl0207.21903MR44 #5973
  7. [7] J. MATHER, Integrability in Codimension 1 (Comm. Math. Helv., Vol. 48, 1973, pp. 195-233). Zbl0284.57016MR50 #8556
  8. [8] D. MCDUFF, Foliations and Monoids of Embeddings, in : Geometric Topology, Cantrell, Academic Press, 1979, pp. 429-444. Zbl0473.57016MR82m:57014
  9. [9] D. MCDUFF, The Homology of Some Groups of Diffeomorphisms (Comm. Math. Helv., Vol. 55, 1980, pp. 97-129). Zbl0448.57015MR81j:57018
  10. [10] D. MCDUFF, On groups of Volume Preserving Diffeomorphisms and Foliations with Transverse Volume Form (Proc. London Math. Soc., (3), Vol. 43, 1981, pp. 295-320). Zbl0411.57028MR83g:58007
  11. [11] D. MCDUFF, On Tangle Complexes and Volume Preserving Diffeomorphisms of Open 3-Manifolds (Proc. London Math. Soc., (3), Vol. 43, 1981, pp. 321-333). Zbl0411.57029MR83g:58008
  12. [12] G. ROUSSEAU, Difféomorphisms d'une variété symplectique non-compacte (Comm. Math. Helv., Vol. 53, 1978, pp. 622-633). Zbl0393.53017MR80a:58010
  13. [13] G. B. SEGAL, Classifying Spaces Related to Foliations (Topology, Vol. 17, 1978, pp. 367-382). Zbl0398.57018MR80h:57036
  14. [14] S. SMALE, Diffeomorphisms of the 2-sphere (Proc. A.M.S., Vol. 10, 1959, pp. 621-626). Zbl0118.39103MR22 #3004
  15. [15] W. THURSTON, Foliations and Groups of Diffeomorphisms (Bull. A.M.S., 80, 1974, pp. 304-307). Zbl0295.57014MR49 #4027
  16. [16] W. THURSTON, On the Structure of the Group of Volume Preserving Diffeomorphisms, Preprint c. 1973. 
  17. [17] J. MATHER, Foliations and Local Homology of Groups of diffeomorphisms (Proc. Int. Congr. Math., Vancouver, 1974, Vol. 2, pp. 35-37). Zbl0333.57015MR55 #4205

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