Surveys in Differential Geometry

Contents

The geometry of classical particles

Singularities in the work of Friedrich Hirzebruch

The moduli space of abelian varieties and the singularities of the theta divisor

Holomorphic spheres in loop groups and Bott periodicity

Moment map and diffeomorphisms

Dirac charge quantization and generalized differential cohomology

The holomorphic kernel of the Rankin-Selberg convolution

Equivariant de Rham theory and graphs

Morse theory and Stokes’ theorem

The Atiyah-Bott-Singer fixed point theorem and number theory

The moduli space of complex Lagrangian submanifolds

Which Singer is that?

Curvature and function theory on Riemannian manifolds

Mirror Principle. III

Mirror Principle. IV

Three constructions of Frobenius manifolds: A comparative study

On Ricci-flat twistor theory

On the geometry of nilpotent orbits

Seiberg-Witten invariants, self-dual harmonic 2-forms and Hofer-Wysocki-Zehnder formalism

Unifying themes in topological field theories

Noncommutative Yang-Mills theory and string theory