Formes fermées non singulières et propriétés de finitude des groupes

Mihai Damian

Annales scientifiques de l'École Normale Supérieure (2000)

  • Volume: 33, Issue: 3, page 301-320
  • ISSN: 0012-9593

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Damian, Mihai. "Formes fermées non singulières et propriétés de finitude des groupes." Annales scientifiques de l'École Normale Supérieure 33.3 (2000): 301-320. <http://eudml.org/doc/82517>.

@article{Damian2000,
author = {Damian, Mihai},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {differentiable manifold; Morse theory; Novikov homology; symplectic topology},
language = {fre},
number = {3},
pages = {301-320},
publisher = {Elsevier},
title = {Formes fermées non singulières et propriétés de finitude des groupes},
url = {http://eudml.org/doc/82517},
volume = {33},
year = {2000},
}

TY - JOUR
AU - Damian, Mihai
TI - Formes fermées non singulières et propriétés de finitude des groupes
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2000
PB - Elsevier
VL - 33
IS - 3
SP - 301
EP - 320
LA - fre
KW - differentiable manifold; Morse theory; Novikov homology; symplectic topology
UR - http://eudml.org/doc/82517
ER -

References

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  1. [1] ARNOL'D V.I., First steps in symplectic topology, Russ. Math. Surv. 6 (1986) 3-18. Zbl0618.58021MR89d:58034
  2. [2] BESTVINA M., BRADY N., Morse theory and finiteness properties of groups, Invent. Math. 129 (1997) 445-470. Zbl0888.20021MR98i:20039
  3. [3] BIERI R., Homological Dimension of Discrete Groups, Queen Mary College Mathematics Notes, 1976. Zbl0357.20027MR57 #6224
  4. [4] BIERI R., Normal subgroups in duality groups and in groups of cohomological dimension 2, J. Pure App. Algebra 7 (1976) 35-52. Zbl0322.20024MR52 #10904
  5. [5] BIERI R., ECKMANN B., Finiteness properties of duality groups, Comment. Math. Helv. 49 (1974) 74-83. Zbl0279.20041MR49 #5205
  6. [6] BIERI R., NEUMANN W., STREBEL R., A geometric invariant for discrete groups, Invent. Math. 90 (1987) 451-477. Zbl0642.57002MR89b:20108
  7. [7] BIERI R., RENZ B., Valuations on free resolutions and higher geometric invariants of groups, Comment. Math. Helv. 63 (1998) 464-497. Zbl0654.20029MR90a:20106
  8. [8] BIERI R., STREBEL R., Geometric invariants for discrete groups, Frankfurt, Manuscript in progress. Zbl0485.20026
  9. [9] BROWN K.S., Cohomology of Groups, GTM 87, Springer, New York, 1982. Zbl0584.20036MR83k:20002
  10. [10] BROWN K.S., Trees, valuations and the Bieri-Neumann-Strebel invariant, Invent. Math. 90 (1987) 479-504 ; 451-477. Zbl0663.20033MR89e:20060
  11. [11] CHARNEY R., DAVIS M., Finite K(π, 1)'s for Artin groups, in : Prospects in Topology, Princeton, NJ, 1994, pp. 110-124. Zbl0930.55006MR97a:57001
  12. [12] DROMS C., Subgroups of graph groups, J. Algebra 110 (1987) 519-522. Zbl0625.20026MR88m:05046
  13. [13] ELIASHBERG Y., GROMOV M., Lagrangian intersections and the stable Morse theory, J. Boll. Unione Mat. Ital., Ser. B11 VII (2) Suppl. (1997) 289-326. Zbl0964.58009MR98d:58057
  14. [14] FARRELL F.T., JONES L.E., Stable pseudoisotopy spaces of non-positively curved manifolds, J. Differential Geom. 38 (1991) 769-834. Zbl0749.53022MR93b:57020
  15. [15] HOCHSCHILD G., SERRE J.-P., Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953) 110-134. Zbl0050.02104MR14,619b
  16. [16] HU B., Whitehead groups of finite polyhedra with non-positive curvature, J. Differential Geom. 38 (3) (1993) 501-517. Zbl0781.57009MR94k:57037
  17. [17] GROMOV M., Hyperbolic groups, essays in group theory, in : Gersten S.M (Ed.), M.S.R.I. Publ. 8, Springer, New York, 1987, pp. 75-263. Zbl0634.20015MR89e:20070
  18. [18] LATOUR F., Existence de 1-formes fermées non-singulières dans une classe de cohomologie de de Rham, Publ. Math. IHES 80 (1994). Zbl0837.58002MR96f:57030
  19. [19] LAUDENBACH F., SIKORAV J.-C., Persistance de l'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent, Invent. Math. 82 (1985) 349-357. Zbl0592.58023MR87c:58042
  20. [20] LEVITT G., 1-formes singulières et groupe fondamental, Invent. Math. 88 (1987) 635-667. Zbl0594.57014MR88d:58004
  21. [21] KERVAIRE M., On the theorem of Barden-Mazur-Stallings, Comment. Math. Helv. 40 (1965) 31-42. Zbl0135.41503MR32 #6475
  22. [22] MAUMARY S., Type simple d'homotopie, in : Torsion et Type Simple d'Homotopie, Lecture Notes in Math., Vol. 48, Springer, Berlin, 1967. Zbl0153.53901MR36 #5943
  23. [23] MEIER J., MEINERT H., VAN WYK L., Finiteness properties and abelian quotients of graph groups, J. Math. Res. Lett. 3 (1996) 779-785. Zbl0876.57003MR98b:57003
  24. [24] MEIER J., VAN WYK L., The Bieri-Neumann-Strebel invariants for graph groups, Proc. London Math. Soc. 71 (1995) 263-280. Zbl0835.20037MR96h:20093
  25. [25] MILNOR J., Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966) 358-426. Zbl0147.23104MR33 #4922
  26. [26] NOVIKOV S.P., Multivalued functions and functionals. An analogue of the Morse theory, Soviet. Math. Dokl. 24 (2) (1981) 222-226. Zbl0505.58011
  27. [27] PAJITNOV A., Surgery on the Novikov complex, K-theory 10 (1996) 323-412. Zbl0861.57042MR97j:57043
  28. [28] PAJITNOV A., On the sharpness of Novikov type inequalities for manifolds with free abelian group, Math. USSR Sbornik 68 (1991) 351-389. Zbl0708.57013
  29. [29] RENZ B., Thesis, University of Frankfurt, 1987. 
  30. [30] SHARKO V.V., The stable algebra of Morse theory, Math. USSR-Izv. 36 (3) (1991) 629-653. Zbl0723.58012MR92a:57037
  31. [31] SHARKO V.V., Functions on Manifolds. Algebraic and Topological Aspects, Trans. Math. Monographs, Vol. 131, Amer. Math. Soc., Providence, RI, 1993. Zbl0791.57001MR94j:57001
  32. [32] SIKORAV J.-C., Un problème de disjonction par isotopie symplectique dans un fibré cotangent, Ann. Scient. Éc. Norm. Sup. 19 (1986) 543-552. Zbl0621.58018MR88d:58045
  33. [33] SIKORAV J.-C., Problèmes d'intersection et de points fixes en géométrie Hamiltonienne, Comment. Math. Helv. 62 (1987) 61-72. Zbl0684.58015MR88g:58067
  34. [34] SIKORAV J.-C., Homologie de Novikov associée à une classe de cohomologie réelle de degré un, Thèse Orsay, 1987. 
  35. [35] SMALE S., On the structure of manifolds, Amer. J. Math. 84 (1962) 387-399. Zbl0109.41103MR27 #2991
  36. [36] STALLINGS J.R., A finitely presented group whose 3-dimensional integral homology is not finitely generated, Amer. J. Math. 85 (1963) 541-543. Zbl0122.27301MR28 #2139
  37. [37] STALLINGS J.R., On fibering certain 3-manifolds, in : Topology of 3-Manifolds and Related Topics, Prentice-Hall, Englewood Cliffs, NJ, 1962, pp. 95-100. Zbl1246.57049MR28 #1600
  38. [38] THURSTON W.P., A norm on the homology of 3-manifolds, Mem. Amer. Math. Soc. 339 (1986). Zbl0585.57006MR88h:57014
  39. [39] TISCHLER D., On fibering certain foliated manifolds over S1, Topology 9 (1970) 153-154. Zbl0177.52103MR41 #1069
  40. [40] WALL C.T.C., Finiteness conditions for CW-complexes, Ann. of Math. 81 (1965) 56-69. Zbl0152.21902MR30 #1515

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