T-duality simplifies bulk-boundary correspondence: the noncommutative case

DOI10.1007/s11005-017-1028-xzbMath1395.58008arXiv1603.00116OpenAlexW2605071894MaRDI QIDQ1635784

Keith C. Hannabuss, Guo Chuan Thiang, Varghese Mathai

Publication date: 1 June 2018

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

Full work available at URL: https://arxiv.org/abs/1603.00116

zbMATH Keywords

T-dualitymagnetic fieldsdefectsquantum Hall effectdisorderHall effecttopological insulatorsH-fluxbulk-boundary correspondenceConnes-Thom isomorphism

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Many-body theory; quantum Hall effect (81V70) Noncommutative geometry (à la Connes) (58B34) Canonical transformations in symplectic and contact geometry (53D22)

Related Items

Tight-binding reduction and topological equivalence in strong magnetic fields ⋮ Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases ⋮ Index theory and topological phases of aperiodic lattices ⋮ Crystallographic T-duality ⋮ Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices ⋮ The \(K\)-theoretic bulk-boundary principle for dynamically patterned resonators ⋮ Bulk-boundary correspondence for disordered free-fermion topological phases

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