An application of the Morse theory to the topology of Lie-groups

Raoul Bott

Bulletin de la Société Mathématique de France (1956)

  • Volume: 84, page 251-281
  • ISSN: 0037-9484

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Bott, Raoul. "An application of the Morse theory to the topology of Lie-groups." Bulletin de la Société Mathématique de France 84 (1956): 251-281. <http://eudml.org/doc/86904>.

@article{Bott1956,
author = {Bott, Raoul},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Topology},
language = {eng},
pages = {251-281},
publisher = {Société mathématique de France},
title = {An application of the Morse theory to the topology of Lie-groups},
url = {http://eudml.org/doc/86904},
volume = {84},
year = {1956},
}

TY - JOUR
AU - Bott, Raoul
TI - An application of the Morse theory to the topology of Lie-groups
JO - Bulletin de la Société Mathématique de France
PY - 1956
PB - Société mathématique de France
VL - 84
SP - 251
EP - 281
LA - eng
KW - Topology
UR - http://eudml.org/doc/86904
ER -

References

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  1. [1] É. CARTAN, La géométrie des groupes simples (Œuvres, t. 2, Part I, p. 793 ; also papers referred to there in). JFM53.0392.03
  2. [2] C. CHEVALLEY, Theory of Lie groups I (Princeton, New Jersey, Princeton University press, 1946). Zbl0063.00842
  3. [3] R. DEHEUVELS, Topologie d'une fonctionnelle [Ann. math., (2), t. 61, 1955, p. 13-72]. Zbl0067.33303MR16,1042f
  4. [4] A. BOREL, a. Sur la cohomologie des espaces fibrés... (Ann. Math., t. 57, 1953, n° 1, p. 115). Zbl0052.40001MR14,490e
  5. A. BOREL, b. Kählerian, coset spaces of semisimple Lie groups (Proc. Nat. Acad. Sc., t. 40, 1954, p. 1147-1151). Zbl0058.16002MR17,1108e
  6. [5] R. BOTT, On Torsion in Lie groups (Proc. Nat. Acad. Sc., t. 40, 1954, p. 586-588). Zbl0057.02201MR16,12a
  7. [6] F. HIRZEBRUCH, On the characteristic classes of differentiable manifolds (Colloque H. Poincaré, octobre 1954). 
  8. [7] H. HOPF, Maximale Toroide und singulare elemente in geschlossenen Lieschen gruppen (Com. Math. Helv., t. 15, 1942, p. 59). Zbl0027.09601MR4,173cJFM68.0044.01
  9. [8] J. LERAY, L'anneau spectral et l'anneau filtré... (J. Math. pures et appl., t. 39, 1950). 
  10. [9] M. MORSE, The calculus of variations in the large (Mat. Coll. Publ., t. 18, 1934). Zbl0011.02802MR98f:58070JFM60.0450.01
  11. [10] SEIFERT-THRELFALL, Variationsrechnung im Grossen, Teubner, 1938. Zbl0021.14103JFM64.0499.02
  12. [11] J.-P. SERRE, a. Homologie singulière des espaces fibrés. Applications (Ann. Math., t. 54, 1951, p. 425). Zbl0045.26003MR13,574g
  13. J.-P. SERRE, b. Groupes d'homotopie et classes de groupes abéliens (Ann. Mat., t. 58, 1953, p. 258). Zbl0052.19303MR15,548c
  14. [12] E. STIEFEL, Ueber eine Beziehung... (Com. Math. Helv., t. 14, 1942, p. 350). Zbl0026.38603MR4,134e

Citations in EuDML Documents

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  1. Michel Zisman, La théorie de Marston Morse, I : géométrie différentielle
  2. Joseph A. Wolf, Quelques résultats de R. Bott sur la topologie des groupes de Lie
  3. Armand Borel, Cohomologie des espaces homogènes
  4. Elisa Gage Casini, Some remarks on G -actions with sections
  5. Nagayoshi Iwahori, Hideya Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p -adic Chevalley groups
  6. Michel A. Kervaire, L'homotopie stable des groupes classiques d'après R. Bott. Applications
  7. J. Lepowsky, Generalized Verma modules, loop space cohomology and MacDonald-type identities
  8. E. M. Opdam, Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group

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