Hyperkähler manifolds

  • Michael Atiyah
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1422)

Keywords

Modulus Space Symplectic Structure Twistor Space Magnetic Monopole Holonomy Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M.F. Atiyah, Geometry of Yang-Mills Fields, Lezioni Fermiane Accademia Nazionale dei Lincei & Scuola Normale Superiore, Pisa (1979).MATHGoogle Scholar
  2. 2.
    M.F. Atiyah and N.J. Hitchin, The geometry and dynamics of magnetic monopoles, Princeton University Press (1988).Google Scholar
  3. 3.
    M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld and Y.I. Manin, Construction of Instantons, Phys. Letters 65A (1978) 185–7.MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    A. Beauville, Variétés Kähleriennes dont la première classe de Chern est nulle, J. Diff. Geom. 18 (1983), 755–782.MathSciNetMATHGoogle Scholar
  5. 5.
    E. Brieskorn, Singular elements of semi-simple algebraic groups, Actes Congres Intern. Math. 1970, Vol. 2, 279–284.Google Scholar
  6. 6.
    S.K. Donaldson, Instantons and geometric invariant theory, Commun. Math. Phys. 93 (1984), 453–460.MathSciNetCrossRefMATHGoogle Scholar
  7. 7.
    N.J. Hitchin, A. Karlhede, U. Linstrom and M. Roček, Hyperkähler metrics and Supersymmetry, Commun. Math. Phys. 108 (1987), 535–589.CrossRefMATHGoogle Scholar
  8. 8.
    F.C. Kirwan, Cohomology of quotients in symplectic and algebraic geometry, Mathematical Notes 31, Princeton Univ. Press (1984).Google Scholar
  9. 9.
    P.B. Kronheimer, Instantons gravitationnels et singularités de Klein, C.R. Acad. Sc. Paris 303 (1986), 53–55.MathSciNetMATHGoogle Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Michael Atiyah
    • 1
  1. 1.Mathematical InstituteOxfordEngland, U.K.

Personalised recommendations