Skip to main content
SpringerLink
Log in

Real homotopy theory of Kähler manifolds

  • 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

  1. Bansfield, A., Kan, D.: Homotopy limits, completions and localizations. Lecture Notes in Mathematics304 Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  2. Chen, K. T.: Algebras of iterated path integrals and fundamental groups. Trans. Amer. Math. Soc.156, 359–379 (1971)

    Google Scholar 

  3. Chern, S.S.: Complex manifolds without potential theory. Princeton, N. J.: Van Nostrand 1967

    Google Scholar 

  4. Deligne, P.: Théorie de Hodge III. Publ. Math. IHES44 (1974)

  5. Deligne, P.: La conjecture de Weil I. Publ. Math. IHES43, 273–307 (1974)

    Google Scholar 

  6. Friedlander, E. Griffiths, P., Morgan, J.: Lecture NotesDe Rham theory of Sulliran. Lecture Notes. Istituto Matematico, Florence, Italy 1972

    Google Scholar 

  7. Malcev, A.: Nilpotent groups without torsion. Izv. Akad. Nauk. SSSR. Math.13, 201–212 (1949)

    Google Scholar 

  8. Moišezon, B. G.: Onn-dimensional compact varieties withn algebraically independent meromorphic functions I, II, III. Izv. Akad. Nauk SSSR Ser. Math.30, 133–174 345–386, 621–656 (1966) Also Amer. Math. Soc. Translations. ser. 2 vol. 63 (1967)

    Google Scholar 

  9. Newlander, A., Nirenberg, L.: Complex analytic coordinates in almost complex manifolds Ann. of Math.65, 391–404 (1957)

    Google Scholar 

  10. Quillen, D.: Rational Homotopy Theory. Ann. of Math.90, 205–295 (1969)

    Google Scholar 

  11. Serre, J.-P.: Groupes d'homotopie et classes de groupes abéliens. Ann. of Math.58, 258–294 (1953)

    Google Scholar 

  12. Sullivan, D.: De Rham homotopy theory, (to appear)

  13. Sullivan, D.: Genetics of Homotopy Theory and the Adams conjecture. Ann. of Math.100, 1–79 (1974)

    Google Scholar 

  14. Sullivan, D.: Topology of Manifolds and Differential Forms, (to appear) Proceedings of Conference on Manifolds, Tokyo, Japan, 1973

  15. Weil, A.: Introduction à l'étude des Variétés Kählériennes. Paris: Hermann 1958

    Google Scholar 

  16. Whitehead, J. H. S.: An Expression of Hopfs Invariant as an Integral. Proc. Nat. Ac. Sci.33, 117–123 (1947)

    Google Scholar 

  17. Whitney, H.: Geometric Integration Theory. Princeton University Press 1957

  18. Whitney, H.: On Products in a Complex. Ann. of Math.39, 397–432 (1938)

    Google Scholar 

  19. Morgan, J.: The Algebraic topology of open, non singular algebraic varieties (in preparation)

  20. Deligne, P.: Théoréme de Lefschetz et critères de dégénérescence de suites spectrales. Publ. Math. IHES35, 107–126 (1968)

    Google Scholar 

  21. Parshin, A. N.: A generalization of the Jacobian variety. (Russ.). Investia30, 175–182 (1966)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut des Hautes Etudes Scientifiques, F-91440, Bures-sur-Yvette, France

    Pierre Deligne, John Morgan & Dennis Sullivan

  2. Department of Mathematics, Harvard University, 02138, Cambridge, Mass, USA

    Phillip Griffiths

  3. Department of Mathematics, Columbia University, 10027, New York, N.Y., USA

    John Morgan

Authors
  1. Pierre Deligne
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Phillip Griffiths
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. John Morgan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dennis Sullivan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was partially supported by NSF grant GP-38886.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deligne, P., Griffiths, P., Morgan, J. et al. Real homotopy theory of Kähler manifolds. Invent Math 29, 245–274 (1975). https://doi.org/10.1007/BF01389853

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389853

Keywords

Search

Navigation