-curvature, spectral invariants, and representation theory.
Quantization of a dimensionally reduced Seiberg-Witten moduli space.
Quantum gravity: unification of principles and interactions, and promises of spectral geometry.
Relative determinants of elliptic operators and scattering theory
Relative zeta determinants and the geometry of the determinant line bundle.
Submersions and equivariant Quillen metrics
In this paper, we calculate the behaviour of the equivariant Quillen metric by submersions. We thus extend a formula of Berthomieu-Bismut to the equivariant case.
Zeta-Determinant and Torsion Functions on Riemann Surfaces of Finite Volume.