Book Titles Surveys in Differential Geometry, Vol. VII



Hardcover
     Surveys in Differential Geometry, Vol. VII: Papers dedicated to Atiyah, Bott, Hirzebruch, and Singer
ISBN: 1-57146-069-1
Year Published: 2002
Pages: 696 pages
Binding: Hardcover
Price: $75.00

Description:

As an annual supplement to the Journal of Differential Geometry, the Surveys in Differential Geometry volume is received with anticipation each year as it summarizes many of the recent discoveries in the field.

This year's volume is dedicated to the founders of index theory: M. Atiyah, R. Bott, F. Hirzebruch, and I.M. Singer, containing many contributions by their students and colleagues, and reflects the significant work in the field by these great mathematicians. The volume is suitable for graduate students and researchers interested in geometry and topology.

Contents:

  • The geometry of classical particles
    M. Atiyah
  • Singularities in the work of Friedrich Hirzebruch
    E. Brieskorn
  • The moduli space of abelian varieties and the singularities of the theta divisor
    C. Ciliberto & G. Van Der Geer
  • Holomorphic spheres in loop groups and Bott periodicity
    R. L. Cohen, E. Lupercio & Graeme B. Segal
  • Moment map and diffeomorphisms
    S. K. Donaldson
  • Dirac charge qantization and generalized differential cohomology
    D. S. Freed
  • The holomorphic kernel of the Rankin-Selberg convolution
    D. Goldfeld & S. Zhang
  • Equivariant de Rham theory and graphs
    V. Guillemin & C. Zara
  • Morse theory and Stokes' theorem
    F.R. Harvey & H.B. Lawson, Jr.
  • The Atiyah-Bott-Singer fixed point theorem and number theory
    F. Hirzebruch
  • The moduli space of complex Lagrangian submanifolds
    N.J. Hitchin
  • Which Singer is that?
    R.V. Kadison
  • Curvature and function theory on Riemannian manifolds
    P. Li
  • Mirror principle. III
    B.H. Lian, K.F. Liu & S.T. Yau
  • Mirror principle. IV
    B.H. Lian, K.F. Liu & S.T. Yau
  • Three constructions of Frobenius manifolds: A comparative study
    Y.I. Manin
  • On Ricci-flat twistor theory
    R. Penrose
  • On the geometry of nipotent orbits
    W. Schmid & K. Vilonen
  • Seiberg-Witten invariants, self-dual harmonic 2-forms and the Hofer-Wysocki-Zehnder formalism
    C. H. Taubes
  • Unifying themes in topological field theories
    C. Vafa
  • Noncommutative Yang-Mills theory and string theory
    E. Witten

Editors:

S.-T. Yau, Harvard University, Cambridge, MA

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