On T-duality in the K-theory classification of topological phases of matter (related to the Fourier transform between crystals and their Brillouin torus) as expressing the bulk-boundary correspondence:
Varghese Mathai, Guo Chuan Thiang, T-Duality of Topological Insulators, J. Phys. A: Math. Theor. 48 (2015) 42FT02 [doi:10.1088/1751-8113/48/42/42FT02, arXiv:1503.01206]
Varghese Mathai, Guo Chuan Thiang: T-Duality Simplifies Bulk-Boundary Correspondence, Commun. Math. Phys. 345 (2016) 675–701 [doi:10.1007/s00220-016-2619-6, arXiv:1505.05250]
Varghese Mathai, Guo Chuan Thiang, T-duality simplifies bulk-boundary correspondence: some higher dimensional cases, Annales Henri Poincaré 17 12 (2016) 3399-3424 [doi:10.1007/s00023-016-0505-6, arXiv:1506.04492]
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]
Kiyonori Gomi, Guo Chuan Thiang: Crystallographic T-duality, J. Geom. Phys 139 (2019) 50-77 [doi:10.1016/j.geomphys.2019.01.002, arXiv:1806.11385]
Review:
Guo Chuan Thiang, K-theory and T-duality of topological phases, Adelaide (2018) [ pdf]
Keith C. Hannabuss, T-duality and the bulk-boundary correspondence, Journal of Geometry and Physics
124 (2018) 421-435 [doi:10.1016/j.geomphys.2017.11.016, arXiv:1704.00278]
Last revised on June 26, 2025 at 07:07:57. See the history of this page for a list of all contributions to it.