Un nouvel invariant pour les sphères d'homologie de dimension trois

Alexis Marin

Séminaire Bourbaki (1987-1988)

  • Volume: 30, page 151-164
  • ISSN: 0303-1179

How to cite

top

Marin, Alexis. "Un nouvel invariant pour les sphères d'homologie de dimension trois." Séminaire Bourbaki 30 (1987-1988): 151-164. <http://eudml.org/doc/110093>.

@article{Marin1987-1988,
author = {Marin, Alexis},
journal = {Séminaire Bourbaki},
keywords = {Casson invariant for homology 3-spheres; representations of the fundamental group into SL(2,; Floer homology; Alexander polynomial; Rohlin invariant},
language = {fre},
pages = {151-164},
publisher = {Société Mathématique de France},
title = {Un nouvel invariant pour les sphères d'homologie de dimension trois},
url = {http://eudml.org/doc/110093},
volume = {30},
year = {1987-1988},
}

TY - JOUR
AU - Marin, Alexis
TI - Un nouvel invariant pour les sphères d'homologie de dimension trois
JO - Séminaire Bourbaki
PY - 1987-1988
PB - Société Mathématique de France
VL - 30
SP - 151
EP - 164
LA - fre
KW - Casson invariant for homology 3-spheres; representations of the fundamental group into SL(2,; Floer homology; Alexander polynomial; Rohlin invariant
UR - http://eudml.org/doc/110093
ER -

References

top
  1. [Ak-MC] S. Akbulut, Mc Carthy - Casson's invariant for oriented homology 3-spheres, an exposition, Preprint. 
  2. [A] M.F. Atiyah - New invariants of 3 and 4 dimensional manifolds, à paraître dans les proceedings de la conférence en l'honneur de Hermann Weyl, Mai 1987. Zbl0667.57018
  3. [A-B] M.F. Atiyah, R. Boit - The Yang - Mills equations over Riemann surfaces, Phil. Trans. R. Soc. A308 (1982), 523-615. Zbl0509.14014MR702806
  4. [A-P-S] M.F. Atiyah, W.K. Patodi, I.M. Singer - Spectral asymmetry and Riemannian geometry, I, II, III, Proc. Camb. Phil. Soc.77 (1975), 43-69 ; 78 (1975), 405-432 ; 79 (1975), 71-89. Zbl0297.58008MR397797
  5. [B] P.J. Braam - Floer homology groups for homology three-spheres, Preprint Oxford, Janv. 88. MR1120610
  6. [C-S] S.S. Chern, J. Simons - Characteristic forms and geometric invariants, Ann. of Math.99 (1974), 48-69. Zbl0283.53036MR353327
  7. [G-S] D. Galewski, R. Stern - Classification of simplicial triangulations of topological manifolds, BAMS82 (1976), 916-918. Zbl0358.57007MR420637
  8. [G-M] L. Guillou, A. Marin - A la recherche de la topologie perdue, Progress in Math., vol. 62, Birkhäuser, 1986. Zbl0597.57001
  9. [He] G. Henniart - Les inégalités de Morse [d'après E. Witten], Sém. Bourbaki1983-84, exposé n° 617, Nov. 83, Astérisque121- 122 (1985), 43-61. Zbl0565.58033MR768953
  10. [H] M. Hirsch - Differential topology, GTM, 33, Springer, 1976. Zbl0356.57001MR448362
  11. [H-N-K] F. Hirzebruch, W.D. Neuman, S.S. Koch - Differentiable manifolds and quadratic forms, Marcel Dekker, New York, 1971. Zbl0226.57001MR341499
  12. [Ki] R. Kirby - Problems in low dimensional manifold theory, Proc. Symp. in Pure Math.32 (1978), 273-312. Zbl0394.57002MR520548
  13. [L] F. Latour - Double suspension d' une sphère d'homologie d'après R. Edwards , Sém. Bourbaki1977-78, exposé n° 515 (Fév. 78), Springer-Verlag, Lect. Notes in Math.710 (1979), 169-186. Zbl0411.57011MR554220
  14. [Lw] H.B. Lawson - The theory of gauge fields in four dimensions, Lecture Notes NSF, CBMS, Conference nr 58 (1983). Zbl0597.53001
  15. [Ma] T. Matumoto - Variétés simpliciales d'homologie et variétés topologiques métrisables, ThèseUniv. Paris-Sud Orsay (1976). 
  16. [M] D.B. Mumford - Projective invariants of projective structures and applications, Proc. Int. Congress Math. Stockholm (1962), 526-530. Zbl0154.20702MR175899
  17. [N-S] M.S. Narasimhan, C.S. Seshadri - Stable and unitary vector bundles on a compact surface, Ann. of Math.82 (1965), 540-567. Zbl0171.04803MR184252
  18. [N] P.E. Newstead - Characteristic classes of stable bundles of rank 2 over an algebraic curve, TAMS169 (1972), 337-345. Zbl0256.14008MR316452
  19. [Rb] R. Robertello - An invariant of knot cobordism, Comm. Pure Appl. Math.18 (1965), 543-555. Zbl0151.32501MR182965
  20. [R 1] V. Rohlin - Nouveaux résultats dans la théorie des variétés de dimension 4, Dokl. Akad. Nauk, SSSR84 (1952), 221-224 (en russe), traduction dans [G-M], 17-23. 
  21. [R 2] V. Rohlin - Proof of Gudkov's hypothesis, Funk. Ann. App.6 (1972), 136- 138. Zbl0259.14010MR296070
  22. [Rf] D. Rolfsen - Knots and links, Publish or Perish, 1976. Zbl0339.55004MR515288
  23. [Se] J.-P. Serre - Cours d'arithmétique, PUF, 1970. Zbl0225.12002
  24. [Si 1] L.C. Siebenmann - Disruption in low-dimensional handlebody theory by Rohlin's theorem, Topology of Manifolds (Athens, Georgia Conference, 1969), Markham, Chicago1970, 57-76. Zbl0281.57022MR271955
  25. [Si 2] L.C. Siebenmann - Are non-triangulable manifolds triangulable ?, Topology of Manifolds (Athens, Georgia Conference, 1969), Markham, Chicago1970, 77-84. Zbl0297.57012MR271956
  26. [Si 3] L.C. Siebenmann - La conjecture de Poincaré topologique en dimension 4 [d'après M. H. Freedman], Sém. Bourbaki1981-82, exposé n° 588 (Fév. 82), Astérisque92-93 (1982), 219-248. Zbl0533.57006
  27. [Si 4] L.C. Siebenmann - Les bissections expliquent le théorème de Reidemeister - Singer ; un retour aux sources, Prépublications d'Orsay 80, T16 (1980). 
  28. [T 1] C.H. Taubes - Casson's invariant for homology 3-spheres and Fredholm-Euler class, Abstract AMS, vol. 7 (1986), 188. 
  29. [T 2] C.H. Taubes - Gauge theory on asymptotically periodic 4-manifolds, J. Diff. Geom.25 (1987), 363-430. Zbl0615.57009MR882829
  30. [W] F. Waidhausen - Some problems on 3 manifolds, Proc. Symp. in Pure Math.32 (1978), 313-322. Zbl0397.57007MR520549

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.