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Topological Insulators and the Kane-Mele Invariant: Obstruction and Localisation Theory
Severin Bunk, Richard J. Szabo
We present homotopy theoretic and geometric interpretations of the Kane-Mele invariant for gapped fermionic quantum systems in three dimensions with time-reversal symmetry. We show…
The 2-Hilbert Space of a Prequantum Bundle Gerbe
Severin Bunk, Christian Saemann, Richard J. Szabo
We construct a prequantum 2-Hilbert space for any line bundle gerbe whose Dixmier-Douady class is torsion. Analogously to usual prequantisation, this 2-Hilbert space has the catego…
Homotopy colimits and global observables in Abelian gauge theory
Marco Benini, Alexander Schenkel, Richard J. Szabo
We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifold…