An application of the Morse theory to the topology of Lie-groups
Bulletin de la Société Mathématique de France (1956)
- Volume: 84, page 251-281
- ISSN: 0037-9484
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topBott, 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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- [2] C. CHEVALLEY, Theory of Lie groups I (Princeton, New Jersey, Princeton University press, 1946). Zbl0063.00842
- [3] R. DEHEUVELS, Topologie d'une fonctionnelle [Ann. math., (2), t. 61, 1955, p. 13-72]. Zbl0067.33303MR16,1042f
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- [5] R. BOTT, On Torsion in Lie groups (Proc. Nat. Acad. Sc., t. 40, 1954, p. 586-588). Zbl0057.02201MR16,12a
- [6] F. HIRZEBRUCH, On the characteristic classes of differentiable manifolds (Colloque H. Poincaré, octobre 1954).
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- [8] J. LERAY, L'anneau spectral et l'anneau filtré... (J. Math. pures et appl., t. 39, 1950).
- [9] M. MORSE, The calculus of variations in the large (Mat. Coll. Publ., t. 18, 1934). Zbl0011.02802MR98f:58070JFM60.0450.01
- [10] SEIFERT-THRELFALL, Variationsrechnung im Grossen, Teubner, 1938. Zbl0021.14103JFM64.0499.02
- [11] J.-P. SERRE, a. Homologie singulière des espaces fibrés. Applications (Ann. Math., t. 54, 1951, p. 425). Zbl0045.26003MR13,574g
- J.-P. SERRE, b. Groupes d'homotopie et classes de groupes abéliens (Ann. Mat., t. 58, 1953, p. 258). Zbl0052.19303MR15,548c
- [12] E. STIEFEL, Ueber eine Beziehung... (Com. Math. Helv., t. 14, 1942, p. 350). Zbl0026.38603MR4,134e
Citations in EuDML Documents
top- Michel Zisman, La théorie de Marston Morse, I : géométrie différentielle
- Joseph A. Wolf, Quelques résultats de R. Bott sur la topologie des groupes de Lie
- Armand Borel, Cohomologie des espaces homogènes
- Elisa Gage Casini, Some remarks on -actions with sections
- Nagayoshi Iwahori, Hideya Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of -adic Chevalley groups
- Michel A. Kervaire, L'homotopie stable des groupes classiques d'après R. Bott. Applications
- J. Lepowsky, Generalized Verma modules, loop space cohomology and MacDonald-type identities
- E. M. Opdam, Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group
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