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)
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