Actions hamiltoniennes

Thomas Delzant[1]; Christophe Wacheux[2]

  • [1] Institut de Recherche Mathématique Avancée, UMR 7501 Université de Strasbourg et CNRS 7 rue René Descartes, 67000 Strasbourg, France
  • [2] Institut de Recherche Mathématiques de Rennes (IRMAR), UMR 6625 Université Rennes 1 et CNRS, 263 Avenue du Général Leclerc CS 74205 35042 Rennes, France

Les cours du CIRM (2010)

  • Volume: 1, Issue: 1, page 23-31
  • ISSN: 2108-7164

How to cite

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Delzant, Thomas, and Wacheux, Christophe. "Actions hamiltoniennes." Les cours du CIRM 1.1 (2010): 23-31. <http://eudml.org/doc/116363>.

@article{Delzant2010,
affiliation = {Institut de Recherche Mathématique Avancée, UMR 7501 Université de Strasbourg et CNRS 7 rue René Descartes, 67000 Strasbourg, France; Institut de Recherche Mathématiques de Rennes (IRMAR), UMR 6625 Université Rennes 1 et CNRS, 263 Avenue du Général Leclerc CS 74205 35042 Rennes, France},
author = {Delzant, Thomas, Wacheux, Christophe},
journal = {Les cours du CIRM},
language = {fre},
number = {1},
pages = {23-31},
publisher = {CIRM},
title = {Actions hamiltoniennes},
url = {http://eudml.org/doc/116363},
volume = {1},
year = {2010},
}

TY - JOUR
AU - Delzant, Thomas
AU - Wacheux, Christophe
TI - Actions hamiltoniennes
JO - Les cours du CIRM
PY - 2010
PB - CIRM
VL - 1
IS - 1
SP - 23
EP - 31
LA - fre
UR - http://eudml.org/doc/116363
ER -

References

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  1. Bredon, G.E., Introduction to compact transformation groups Pure and Applied Mathematics, Vol. 46. Academic Press, New York-London, 1972. Zbl0246.57017MR413144
  2. Delzant, T., Classification des actions hamiltoniennes complètement intégrables de rang 2, Ann. Global Anal. Geom. 8 (1990), no. 1, 87–112. Zbl0711.58017MR1075241
  3. Guillemin, V., Moment maps and combinatorial invariants of Hamiltonian 𝕋 n -spaces . -Boston  : Birkhäuser, 1994. Zbl0828.58001MR1301331
  4. Knop, F., Van Steirteghem, B., Classification of smooth affine spherical varieties, Transform. Groups 11 (2006), no.3, 495–516. Zbl1120.14042MR2264463
  5. Knop, F., Automorphisms of multiplicity-free Hamiltonian manifolds , arXiv :1002.4256 Zbl1226.53082
  6. Losev, I., Proof of the Knop conjecture Annales de l’institut Fourier, 59 no.3 (2009), p. 1105-1134. Zbl1191.14075MR2543664
  7. McDuff, D., Salamon, D., Introduction to symplectic topology, 2nd edition, Oxford University Press, 1998. Zbl0844.58029MR1702941
  8. Souriau, J.-M., Structure of Dynamical Systems  : A Symplectic View of Physics, Springer Verlag, 1997. MR1461545
  9. Weistein, A., Lectures on symplectic geometry , Providence RI  : American mathematical society, 1977. 
  10. Woodward, C., Spherical varieties and existence of invariant Kähler structures, Duke Math. J. 93 (1998), no. 2, 345–377. Zbl0979.53085MR1625995
  11. Woodward, C., Multiplicity-free Hamiltonian actions need not be Kähler, Invent. Math. 131 (1998), no. 2, 311–319. Zbl0902.58014MR1608579

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