Book Titles
Surveys in Differential Geometry, Vol. VII
Surveys in Differential
Geometry, Vol. VII: Papers dedicated to Atiyah, Bott, Hirzebruch, and Singer
ISBN: 978-1-57146-178-0
Year Published: 2010 (original hardcover publication in 2002)
Pages: 710 pages
Binding: Softcover
Price: $39.00
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