Skip navigation
Skip navigation

On a spectral flow formula for the homological index

Carey, Alan; Grosse, Harald; Kaad, Jens

Description

Consider a selfadjoint unbounded operator D on a Hilbert space H and a one parameter norm continuous family of selfadjoint bounded operators {A(t) | t ∈ R} that converges in norm to asymptotes A± at ±∞. Then under certain conditions [22] that include the assumption that the operators {D(t) = D + A(t),t ∈ R} all have discrete spectrum the spectral flow along the path {D(t)} can be shown to be equal to the index of ∂t + D(t) when the latter is an unbounded Fredholm operator on L2(R, H). In [16]...[Show more]

CollectionsANU Research Publications
Date published: 2016
Type: Journal article
URI: http://hdl.handle.net/1885/103497
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2015.10.030

Download

File Description SizeFormat Image
01_Carey_On_a_spectral_flow_formula_for_2016.pdf674.78 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator