Homotopie des espaces de concordances

Jean-Louis Loday

Séminaire Bourbaki (1977-1978)

  • Volume: 20, page 187-205
  • ISSN: 0303-1179

How to cite

top

Loday, 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. [1] D.W. Anderson - Chain functors and homology theories, Symp. Algebraic Topology, Lecture Notes in Math., 249 (1971), Springer-Verlag. Zbl0229.55005MR339132
  2. [2] A. Borel - Stable real cohomology of arithmetic groups, Ann. Sc. Ec. Norm. Sup. t. 7 (1974), 235-272. Zbl0316.57026MR387496
  3. [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. [4] D. Burghelea and R. Lashof - Stability of concordances and the suspension homomorphism, Ann. of Math., 105(1977), 449-472. Zbl0393.55009MR438365
  5. [5] D. Burghelea, R. Lashof and M. Rothenberg - Groups of automorphisms of manifolds, Lecture Notes in Math., 473 (1975), Springer-Verlag. Zbl0307.57013MR380841
  6. [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. [7] M.M. Cohen - Simplicial structures and transverse cellularity, Ann. of Math., 85 (1967), 218-245. Zbl0147.42602MR210143
  8. [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. [9] D. Grayson (after D. Quillen) - Higher algebraic K-theory II, Lecture Notes in Math., 551 (1976), 217-240, Springer-Verlag. Zbl0362.18015MR574096
  10. [10] A. Hatcher - Higher simple homotopy theory, Ann. of Math., 102 (1975), 101-137. Zbl0305.57009MR383424
  11. [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. [12] A. Hatcher and J. Wagoner - Pseudo-isotopies of compact manifolds, Astérisque n° 6,(1973), Soc. Math. de France. Zbl0274.57010MR353337
  13. [13] W.C. Hsiang - On πi(Diff(Mn)) , polycopié. 
  14. [14] K. Igusa - Postnikov invariants and pseudo-isotopy, polycopié. 
  15. [15] R. Kirby and L. Siebenmann - Foundational essays on topological manifolds, smoothing and triangulations, Ann. of Math. Studies, Princeton, 88. Zbl0361.57004
  16. [16] J.-L. Loday - K-théorie algébrique et représentations de groupes, Ann. Sc. Ec. Norm. Sup., t. 9 (1976), 309-377. Zbl0362.18014MR447373
  17. [17] J.-L. Loday - K-théorie algébrique des anneaux de groupes, en préparation. 
  18. [18] C. Morlet - Plongements et automorphismes de variétés, Cours Peccot1969 (épuisé). 
  19. [19] P. May - A∞ - ring spaces and algebraic K-theory, polycopié. 
  20. [20] D. Quillen - Cohomology of groups, Actes Congrès Intern. Math., t.2 (1970), 47-51. Zbl0225.18011MR488054
  21. [21] D. Quillen - Higher algebraic K-theory I, Lecture Notes in Math., 341 (1973), 85-147, Springer-Verlag. Zbl0292.18004MR338129
  22. [22] G. Segal - Categories and cohomology theories, Topology, 13 (1974), 293-312. Zbl0284.55016MR353298
  23. [23] I.A. Volodine - Groupes de Whitehead et pseudo-isotopie généralisés, Uspekhi Mat. Nauk, 27:5 (1972), 229-230 [en russe]. 
  24. [24] F. Waldhausen - Algebraic K-theory of generalized free products, Ann. of Math., à paraître. Zbl0397.18012
  25. [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. [26] F. Waldhausen - Algebraic K-theory of topological spaces, en préparation. 
  27. [27] C.T.C. Wall - Surgery on compact manifolds, Academic Press, 1970. Zbl0219.57024MR431216
  28. [28] J.H.C. Whitehead - Simple homotopy types, Amer. J. Math., 72 (1950), 1-57. Zbl0040.38901MR35437
  29. [29] M. Zisman - Suite spectrale d'homotopie et ensembles simpliciaux, Publ. de l'Université de Grenoble (1975). 
  30. [30] D. Burghelea and R. Lashof - Automorphisms of manifolds a survey, Proc. Symp. Pure Math., vol. 32. Zbl0402.57033

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.