Un complexe de formes différentielles à croissance bornée sur une variété stratifiée

Jean-Paul Brasselet; André Legrand

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1994)

  • Volume: 21, Issue: 2, page 213-234
  • ISSN: 0391-173X

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Brasselet, Jean-Paul, and Legrand, André. "Un complexe de formes différentielles à croissance bornée sur une variété stratifiée." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.2 (1994): 213-234. <http://eudml.org/doc/84175>.

@article{Brasselet1994,
author = {Brasselet, Jean-Paul, Legrand, André},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {intersection homology; singular manifold; differential forms},
language = {fre},
number = {2},
pages = {213-234},
publisher = {Scuola normale superiore},
title = {Un complexe de formes différentielles à croissance bornée sur une variété stratifiée},
url = {http://eudml.org/doc/84175},
volume = {21},
year = {1994},
}

TY - JOUR
AU - Brasselet, Jean-Paul
AU - Legrand, André
TI - Un complexe de formes différentielles à croissance bornée sur une variété stratifiée
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1994
PB - Scuola normale superiore
VL - 21
IS - 2
SP - 213
EP - 234
LA - fre
KW - intersection homology; singular manifold; differential forms
UR - http://eudml.org/doc/84175
ER -

References

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  2. [BT] R. Bott - L.W. Tu, Differential Forms in Algebraic Topology. Graduate Texts in Mathematics82, Springer-VerlagHeidelberg, 1982. Zbl0496.55001MR658304
  3. [BGM] J.P. Brasselet - M. Goresky - B. Macpherson, Simplicial Differential Forms with Poles. Amer. J. Math.113 (1991), 1019-1052. Zbl0748.55002MR1137533
  4. [Bry] J.L. Brylinski, Equivariant Intersection Cohomology. Contemp. Math.139 (1992), 5-32. (Première version: Prépublication de l'IHES, Juin 1986.) Zbl0803.55002MR1197827
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  7. [Fe] M. Ferrarotti, A complex of stratified forms satisfying De Rham's theorem. Preprint, Universitâ di Pisa, 1991. To appear in Hawaii-Provence Singularities Proceedings. Travaux en Cours, Hermann, Paris. Zbl0884.58003
  8. [GM1] M. Goresky - R. Macpherson, Intersection homology theory. Topology19 (1980), 135-162. Zbl0448.55004MR572580
  9. [GM2] M. Goresky - R. Macpherson, Intersection homology theory II. Invent. Math.71 (1983), 77-129. Zbl0529.55007MR696691
  10. [Gr] A. Grothendieck, On the de Rham cohomology of algebraic varieties. Publ. Math. I.H.E.S.29 (1966), 95-105. Zbl0145.17602MR199194
  11. [Ha] R. Hartshorne, On the de Rham cohomology of algebraic varieties. Publ. Math. I.H.E.S.45 (1975), 6-99. Zbl0326.14004MR432647
  12. [Ma] J. Mather, Notes on topological stability. Harvard University, 1970. 
  13. [Na] M. Nagase, Sheaf theoretic L2-cohomology. Adv.Stud.Pure Math.8 (1987), 273-279, North Holland. Zbl0625.55001MR894298
  14. [Sa] N. Sasakura, Cohomology with polynomial growth and completion theory. Publ. Res. Inst. Math. Sci. Kyoto Univ.17 (1981), 371-552. Zbl0561.32005MR642649
  15. [Ve1] A. Verona, Le théorème de De Rham pour les préstratifications abstraites. C.R. Acad. Sci. Paris Sér. I Math. 273 (1971), 886-889. Zbl0222.57027MR290375
  16. [Ve2] A. Verona, Stratified mappings - Structure and Triangulability. Lecture Notes in Math. 1120, Springer VerlagHeidelberg, 1984. Zbl0543.57002MR771120
  17. [Yo] B. Youssin, Lp-cohomology of cones and horns. Preprint September 1992, M.I.T. MR1274131

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