A variant of \(K\)-theory and topological T-duality for real circle bundles

DOI10.1007/s00220-014-2153-3zbMath1320.19001arXiv1310.8446OpenAlexW3103913221MaRDI QIDQ2258020

Kiyonori Gomi

Publication date: 2 March 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8446

zbMATH Keywords

T-dualityequivariant cohomologytwisted equivariant \(K\)-theory

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (16)

A new light on the FKMM invariant and its consequences ⋮ The FKMM-invariant in low dimension ⋮ The geometry of (non-abelian) Landau levels ⋮ The cohomology invariant for class DIII topological insulators ⋮ Crystallographic T-duality ⋮ Differential geometric invariants for time-reversal symmetric Bloch bundles. II: The low-dimensional ``quaternionic case ⋮ Good Wannier bases in Hilbert modules associated to topological insulators ⋮ Classification of ``real Bloch-bundles: topological quantum systems of type AI ⋮ Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices ⋮ Topological insulators and the Kane–Mele invariant: Obstruction and localization theory ⋮ The cohomological nature of the Fu-Kane-Mele invariant ⋮ Twists on the torus equivariant under the 2-dimensional crystallographic point groups ⋮ Chiral vector bundles ⋮ Differential geometric invariants for time-reversal symmetric Bloch-bundles: The “Real” case ⋮ `Real' Gerbes and Dirac cones of topological insulators ⋮ Classification of ``quaternionic Bloch-bundles: topological quantum systems of type AII

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