Skip to main content
SpringerLink
Log in

Intersection cohomology of cs-spaces and Zeeman's filtration

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • [B] Borel, A. et al.: Intersection Cohomology (Progr. Math., vol. 50) Boston: Birkhauser 1984

    Google Scholar 

  • [Br] Bredon, G.: Sheaf Theory. New York: McGraw-Hill 1967

    Google Scholar 

  • [C] Cartan, H.: Séminaire de topologie algébrique de l'Ecole Normale Supérieure. Paris 1950/51, 2. éd. Paris: Secrétariat mathématique 1955

    Google Scholar 

  • [D] Deligne, P.: Théorie de Hodge II. Publ. Math., Inst. Hautes Étud. Sci.40, 5–58 (1977)

    Google Scholar 

  • [G] Godement, R.: Topologie algébrique et Théorie des faisceaux. (Actual. Sci. Ind. 1252) Paris: Hermann 1958

    Google Scholar 

  • [GM1] Goresky, M., MacPherson, R.: Intersection Homology Theory. Topology19, 135–162 (1980)

    Google Scholar 

  • [GM2] Goresky, M., MacPherson, R.: Intersection Homology II. Invent. Math.72, 77–130 (1983)

    Google Scholar 

  • [HS] Habegger, N., Saper, L.: Intersection homology theory and Zeeman's filtration of homology. (Preprint, Fall 1986)

  • [I] Iverson, B.: Cohomology of Sheaves, Berlin Heidelberg New York: Springer 1986

    Google Scholar 

  • [K] King, H.: Topological invariance of intersection homology without sheaves. Topology Appl.20, 149–160 (1985)

    Google Scholar 

  • [M1] McCrory, C.: Zeeman's filtration of homology. Trans. Am. Math. Soc.250, 147–166 (1979)

    Google Scholar 

  • [M2] McCrory, C.: Topology of the Deligne weight filtration. Proc. Symp. Pure Math.40, 217–226 (1983)

    Google Scholar 

  • [Q] Quinn, F.: Intrinsic skeleta and intersection homology of weakly stratified sets. In: McCrory, C., Shifrin, T. (eds.) Geometry and Topology: Manifolds, Varieties, and Knots (Lec. Notes Pure Appl. Math. vol. 105) New York: Marcel Dekker 1987

    Google Scholar 

  • [S] Siebenmann, L.: Deformations of homeomorphisms on stratified sets. Comment. Math. Helv.47, 123–163 (1972)

    Google Scholar 

  • [Sp] Spanier, E.: Algebraic Topology. New York: McGraw-Hill 1966

    Google Scholar 

  • [Z] Zeeman, E.C.: Dihomology III. A generalization of the Poincaré duality for manifolds. Proc. Lond. Math. Soc., III. Ser.13, 153–183 (1963)

    Google Scholar 

  • [Zu] Zucker, S.:L 2-cohomology of warped products and arithmetic groups. Invent. Math.70, 169–218 (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Nantes, F-44072, Nantes, France

    Nathan Habegger

  2. Department of Mathematics, University of Georgia, 30602, Athens, GA, USA

    Nathan Habegger

  3. Department of Mathematics, Duke University, 27706, Durham, NC, USA

    Leslie Saper

Authors
  1. Nathan Habegger
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Leslie Saper
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Oblatum 10-XII-1990

Research supported in part by an NSF Postdoctoral Fellowship, a Yale University Junior Faculty Fellowship and NSF Grant DMS-88-02818

Research supported in part by NSF Grants DMS-8504029, DMS-8705849, and DMS-8957216. The author is an Alfred P. Sloan Research Fellow.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Habegger, N., Saper, L. Intersection cohomology of cs-spaces and Zeeman's filtration. Invent Math 105, 247–272 (1991). https://doi.org/10.1007/BF01232267

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01232267

Keywords

Search

Navigation