nLab Guo Chuan Thiang

• personal page

Selected writings

On the classification by topological K-theory of topological insulators (K-theory classification of topological phases of matter):

• Guo Chuan Thiang, On the K-theoretic classification of topological phases of matter, Annales Henri Poincare 17(4) 757-794 (2016) (arXiv:1406.7366)

• Guo Chuan Thiang, Topological phases: isomorphism, homotopy and K-theory, Int. J. Geom. Methods Mod. Phys. 12 1550098 (2015) (arXiv:1412.4191)

Aspects of the classification of semi-metals seen in ordinary cohomology:

• Varghese Mathai, Guo Chuan Thiang, Global topology of Weyl semimetals and Fermi arcs, J. Phys. A: Math. Theor. 50 (2017) 11LT01 (arXiv:1607.02242, doi:10.1088/1751-8121/aa59b2)

• Varghese Mathai, Guo Chuan Thiang, Differential Topology of Semimetals,

  Commun. Math. Phys. 355 (2017) 561–602, (arXiv:1611.08961, doi:10.1007/s00220-017-2965-z)

On T-duality in the K-theory classification of topological phases of matter, related to the Fourier transform between crystals and their Brillouin torus:

• 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]

• 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]

category: people