On T-duality in the K-theory classification of topological phases of matter, related to the Fourier transform between crystals and their Brillouin torus:
Keith C. Hannabuss, Varghese Mathai, Guo Chuan Thiang, T-duality trivializes bulk-boundary correspondence: the parametrised case, Adv. Theor. Math. Phys. 20 (2016) 1193-1226 [doi:10.4310/ATMP.2016.v20.n5.a8, arXiv:1510.04785]
Keith C. Hannabuss, Varghese Mathai, Guo Chuan Thiang, T-duality simplifies bulk-boundary correspondence: the noncommutative case, Lett. Math. Phys. 108 5 (2018) 1163-1201 [doi:10.1007/s11005-017-1028-x, arXiv:1603.00116]
Review:
124 (2018) 421-435 [doi:10.1016/j.geomphys.2017.11.016, arXiv:1704.00278]
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