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math-ph2017★ 1 cited
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…
math-ph2017★ 7 cited
Categorical Structures on Bundle Gerbes and Higher Geometric Prequantisation
Severin Bunk
We present a construction of a 2-Hilbert space of sections of a bundle gerbe, a suitable candidate for a prequantum 2-Hilbert space in higher geometric quantisation. We introduce a…