Homotopie des espaces de concordances
Séminaire Bourbaki (1977-1978)
- Volume: 20, page 187-205
- ISSN: 0303-1179
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topLoday, Jean-Louis. "Homotopie des espaces de concordances." Séminaire Bourbaki 20 (1977-1978): 187-205. <http://eudml.org/doc/109916>.
@article{Loday1977-1978,
author = {Loday, Jean-Louis},
journal = {Séminaire Bourbaki},
keywords = {algebraic K-theory of topological spaces; space of concordances of a differentiable manifold; double desuspension of the space of concordances; Quillens algebraic K-theory; rational homotopy groups of the space of concordances of a disc; homotopy groups of the group of diffeomorphisms of a manifold; Whitehead space of a manifold},
language = {fre},
pages = {187-205},
publisher = {Springer-Verlag},
title = {Homotopie des espaces de concordances},
url = {http://eudml.org/doc/109916},
volume = {20},
year = {1977-1978},
}
TY - JOUR
AU - Loday, Jean-Louis
TI - Homotopie des espaces de concordances
JO - Séminaire Bourbaki
PY - 1977-1978
PB - Springer-Verlag
VL - 20
SP - 187
EP - 205
LA - fre
KW - algebraic K-theory of topological spaces; space of concordances of a differentiable manifold; double desuspension of the space of concordances; Quillens algebraic K-theory; rational homotopy groups of the space of concordances of a disc; homotopy groups of the group of diffeomorphisms of a manifold; Whitehead space of a manifold
UR - http://eudml.org/doc/109916
ER -
References
top- [1] D.W. Anderson - Chain functors and homology theories, Symp. Algebraic Topology, Lecture Notes in Math., 249 (1971), Springer-Verlag. Zbl0229.55005MR339132
- [2] A. Borel - Stable real cohomology of arithmetic groups, Ann. Sc. Ec. Norm. Sup. t. 7 (1974), 235-272. Zbl0316.57026MR387496
- [3] D. Burghelea and R. Lashof - The homotopy structure of the group of automorphisms of manifolds in stability ranges and some new functors, polycopié.
- [4] D. Burghelea and R. Lashof - Stability of concordances and the suspension homomorphism, Ann. of Math., 105(1977), 449-472. Zbl0393.55009MR438365
- [5] D. Burghelea, R. Lashof and M. Rothenberg - Groups of automorphisms of manifolds, Lecture Notes in Math., 473 (1975), Springer-Verlag. Zbl0307.57013MR380841
- [6] J. Cerf - La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, Pub. Math. I.H.E.S., 39 (1970), 5-173. Zbl0213.25202MR292089
- [7] M.M. Cohen - Simplicial structures and transverse cellularity, Ann. of Math., 85 (1967), 218-245. Zbl0147.42602MR210143
- [8] T. Farrell and W.C. Hsiang - On the rational homotopy groups of the diffeomorphism groups of discs, spheres and aspherical manifolds, Proc. Symp. Pure Math., vol. 32 (1978) [Amer. Math. Soc. Summer Institute Stanford, 1976]. Zbl0393.55018MR520509
- [9] D. Grayson (after D. Quillen) - Higher algebraic K-theory II, Lecture Notes in Math., 551 (1976), 217-240, Springer-Verlag. Zbl0362.18015MR574096
- [10] A. Hatcher - Higher simple homotopy theory, Ann. of Math., 102 (1975), 101-137. Zbl0305.57009MR383424
- [11] A. Hatcher - Concordance spaces, higher simple homotopy theory and applications, Proc. Symp. Pure Math., vol. 82 (1978) [Amer. Math. Soc. Summer Institute Stanford, 1976]. Zbl0406.57031MR520490
- [12] A. Hatcher and J. Wagoner - Pseudo-isotopies of compact manifolds, Astérisque n° 6,(1973), Soc. Math. de France. Zbl0274.57010MR353337
- [13] W.C. Hsiang - On πi(Diff(Mn)) , polycopié.
- [14] K. Igusa - Postnikov invariants and pseudo-isotopy, polycopié.
- [15] R. Kirby and L. Siebenmann - Foundational essays on topological manifolds, smoothing and triangulations, Ann. of Math. Studies, Princeton, 88. Zbl0361.57004
- [16] J.-L. Loday - K-théorie algébrique et représentations de groupes, Ann. Sc. Ec. Norm. Sup., t. 9 (1976), 309-377. Zbl0362.18014MR447373
- [17] J.-L. Loday - K-théorie algébrique des anneaux de groupes, en préparation.
- [18] C. Morlet - Plongements et automorphismes de variétés, Cours Peccot1969 (épuisé).
- [19] P. May - A∞ - ring spaces and algebraic K-theory, polycopié.
- [20] D. Quillen - Cohomology of groups, Actes Congrès Intern. Math., t.2 (1970), 47-51. Zbl0225.18011MR488054
- [21] D. Quillen - Higher algebraic K-theory I, Lecture Notes in Math., 341 (1973), 85-147, Springer-Verlag. Zbl0292.18004MR338129
- [22] G. Segal - Categories and cohomology theories, Topology, 13 (1974), 293-312. Zbl0284.55016MR353298
- [23] I.A. Volodine - Groupes de Whitehead et pseudo-isotopie généralisés, Uspekhi Mat. Nauk, 27:5 (1972), 229-230 [en russe].
- [24] F. Waldhausen - Algebraic K-theory of generalized free products, Ann. of Math., à paraître. Zbl0397.18012
- [25] F. Waldhausen - Algebraic K-theory of topological spaces I, Proc. Symp. Pure Math., vol. 32 (1978) [Amer. Math. Soc. Summer Institute, Stanford, 1976] Zbl0414.18010MR520492
- [26] F. Waldhausen - Algebraic K-theory of topological spaces, en préparation.
- [27] C.T.C. Wall - Surgery on compact manifolds, Academic Press, 1970. Zbl0219.57024MR431216
- [28] J.H.C. Whitehead - Simple homotopy types, Amer. J. Math., 72 (1950), 1-57. Zbl0040.38901MR35437
- [29] M. Zisman - Suite spectrale d'homotopie et ensembles simpliciaux, Publ. de l'Université de Grenoble (1975).
- [30] D. Burghelea and R. Lashof - Automorphisms of manifolds a survey, Proc. Symp. Pure Math., vol. 32. Zbl0402.57033
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