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

Carey, AlanPotapov, DenisSukochev, Fedor A2015-12-080001-8708http://hdl.handle.net/1885/36623One 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 adjointKeywords: Fredholm operator; Spectral flow; von Neumann algebraSpectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators200910.1016/j.aim.2009.06.0202016-02-24