Classes caractéristiques et fondamentales en cobordismes et K-théories

Luce Gouyon

Bulletin de la Société Mathématique de France (1985)

  • Volume: 113, page 475-506
  • ISSN: 0037-9484

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Gouyon, Luce. "Classes caractéristiques et fondamentales en cobordismes et K-théories." Bulletin de la Société Mathématique de France 113 (1985): 475-506. <http://eudml.org/doc/87499>.

@article{Gouyon1985,
author = {Gouyon, Luce},
journal = {Bulletin de la Société Mathématique de France},
keywords = {fundamental classes; characteristic classes; K-theory; KO-theory; complex cobordism; oriented cobordism; formal power series; KO(MSO(4n)); K(MSO(4n))},
language = {fre},
pages = {475-506},
publisher = {Société mathématique de France},
title = {Classes caractéristiques et fondamentales en cobordismes et K-théories},
url = {http://eudml.org/doc/87499},
volume = {113},
year = {1985},
}

TY - JOUR
AU - Gouyon, Luce
TI - Classes caractéristiques et fondamentales en cobordismes et K-théories
JO - Bulletin de la Société Mathématique de France
PY - 1985
PB - Société mathématique de France
VL - 113
SP - 475
EP - 506
LA - fre
KW - fundamental classes; characteristic classes; K-theory; KO-theory; complex cobordism; oriented cobordism; formal power series; KO(MSO(4n)); K(MSO(4n))
UR - http://eudml.org/doc/87499
ER -

References

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  1. [1] ANDERSON (D. W.)The Real K-Theory of Classifying Spaces, Proc. Nat. Acad. Sc. U.S.A., 51, 1964. Zbl0168.21104
  2. [2] ATTYAH (M. F.) and HIRZEBRUCH (F.). — Vector Bundles and Homogeneous Spaces, Differential Geometry, Proceedings of Symposium in Pure Mathematics, Amer. Math. Soc., vol. 3, 1961. Zbl0108.17705
  3. [3] BOREL (A.) and HIRZEBRUCH (F.). — Characteristic Classes and Homogeneous Spaces, I, Amer. J. Math., vol. 80, 1958. Zbl0097.36401MR21 #1586
  4. [4] BOTT (R.). — Lectures on K(X), Mineographed notes, Harvard, 1962. 
  5. [5] CONNER (P. E.) and FLOYD (E. E.). — The Relation of Cobordism to K-Theories, Lecture Notes in Mathematics, vol. 28, 1966. Zbl0161.42802MR35 #7344
  6. [6] GOUYON (L.). — Une remarque sur le cobordisme unitaire et la K-théorie, C.R. Acad. Sc., t. 274, 1972, p. 1892-1894. Zbl0237.55002MR46 #2697
  7. [7] GOUYON (L.). — Relations entre cobordisme orienté et K-théorie, C.R. Acad. Sc., t. 280, 1975. Zbl0296.55005MR50 #11278
  8. [8] GOUYON (L.). — Classes caractéristiques et fondamentales en cobordismes et K-théories, Thèse. 
  9. [9] HUSEMOLLER (Dale). — Fibre Bundles, McGraw-Hill, Series in Higher Mathematics, 1966. Zbl0144.44804
  10. [10] MILNOR (J.). — The representation rings of some classical groups, Mineographed notes, May 1963. 
  11. [11] WEISHU (Shih). — Characteristic Classes as Natural Transformations and Topological Index of Classical Elliptic Operators. Cahiers de Topologie et Géométrie différentielle, vol. X, n° 4, 1968. Zbl0176.52702
  12. [12] WEISHU (Shih). — Une remarque sur les classes de Thom, C.R. Acad. Sc., t. 260, 1965, p. 6259-6262. Zbl0161.42803MR31 #5217
  13. [13] WEISHU (Shih) et SINGH VARMA (H. O.). — Sur les KO-classes des fibrés réels, C.R. Acad. Sc., t. 273, 1971, p. Zbl0232.55031MR45 #1155
  14. [14] WHITEHEAD (G. W.). — Generalized Homology Theories, Trans. Amer. Math. Soc., vol. 102, 1962. Zbl0124.38302MR25 #573

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