Chern-Weil calculus extended to a class of infinite dimensional manifolds

Abstract

We discuss possible extensions of the classical Chern-Weil formalism to an infinite dimensional setup. This is based on joint work with Steven Rosenberg, joint work with Simon Scott and joint work with Jouko Mickelsson.

References in corpus (6)

• Index Theory, Gerbes, and Hamiltonian Quantization
• Stokes' formulae on classical symbol valued forms and applications
• Renormalised Chern-Weil forms associated with families of Dirac operators
• Secondary Characteristic Classes on Loop Spaces
• Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry
• The multiplicative anomaly for determinants revisited; locality

Cited by in corpus (2)

• The caloron correspondence and higher string classes for loop groups
• Geometry of Pseudodifferential algebra bundles and Fourier Integral Operators