The KO-valued spectral flow for skew-adjoint Fredholm operators
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Bourne, Christopher; Carey, Alan; Lesch, Matthias; Rennie, Adam
Description
In this paper, we give a comprehensive treatment of a "Clifford module flow" along paths in the skew-adjoint Fredholm operators on a real Hilbert space that takes values in KO∗ (R) via the Clifford index of Atiyah-Bott-Shapiro. We develop its properties for both bounded and unbounded skew-adjoint operators including an axiomatic characterization. Our constructions and approach are motivated by the principle that spectral flow =Fredholm index. That is, we show how the KO-valued spectral flow...[Show more]
Collections | ANU Research Publications |
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Date published: | 2022 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/298811 |
Source: | Journal of Topology and Analysis |
DOI: | 10.1142/S1793525320500557 |
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File | Description | Size | Format | Image |
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The Ko–Valued Spectral Flow For Skew-Adjoint Fredholm Operators.pdf | 446.74 kB | Adobe PDF | Request a copy |
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