Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators

Carey, Alan; Potapov, Denis; Sukochev, Fedor A

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Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators

Date

2009

Authors

Carey, Alan

Potapov, Denis

Sukochev, Fedor A

Publisher

Academic Press

Abstract

One may trace the idea that spectral flow should be given as the integral of a one form back to the 1974 Vancouver ICM address of I.M. Singer. Our main theorem gives analytic formulae for the spectral flow along a norm differentiable path of self adjoint