Doll N (2024)
Publication Type: Journal article
Publication year: 2024
Book Volume: 286
Article Number: 110194
Journal Issue: 1
DOI: 10.1016/j.jfa.2023.110194
The orientation flow of paths of real skew-adjoint Fredholm operators with invertible endpoints was studied by Carey, Phillips and Schulz-Baldes. For paths of real skew-adjoint Fredholm operators with odd-dimensional kernel the orientation flow is defined with respect to a real one-dimensional reference projection. It is homotopy invariant and fulfills a concatenation property. When applied to closed paths it is independent of the reference projection and provides an isomorphism of the fundamental group of the space of real skew-adjoint Fredholm operators with odd-dimensional kernel to Z2. As an example the orientation flow of the magnetic flux inserted in a half-sided Kitaev chain is studied.
APA:
Doll, N. (2024). Orientation flow for skew-adjoint Fredholm operators with odd-dimensional kernel. Journal of Functional Analysis, 286(1). https://dx.doi.org/10.1016/j.jfa.2023.110194
MLA:
Doll, Nora. "Orientation flow for skew-adjoint Fredholm operators with odd-dimensional kernel." Journal of Functional Analysis 286.1 (2024).
BibTeX: Download