[1] A. Hatcher. Algebraic Topology(2002).
[3] R. B. Laughlin. Quantized Hall conductivity in two dimensions. Phys. Rev. B, 23, 5632(1981).
[6] M. E. Cage et al. The Quantum Hall Effect(2012).
[12] B. A. Bernevig, S.-C. Zhang. Quantum spin Hall effect. Phys. Rev. Lett., 96, 106802(2006).
[16] M. Stone. Quantum Hall Effect(1992).
[18] J. Sinova et al. Spin Hall effects. Rev. Mod. Phys., 87, 1213(2015).
[24] M. C. Rechtsman et al. Photonic Floquet topological insulators. Nature, 496, 196(2013).
[25] L. Lu, J. D. Joannopoulos, M. Soljačić. Topological photonics. Nat. Photonics, 8, 821(2014).
[26] L. Lu et al. Experimental observation of Weyl points. Science, 349, 622(2015).
[31] S. Stutzer et al. Photonic topological Anderson insulators. Nature, 560, 461(2018).
[35] Z. Yang et al. Topological acoustics. Phys. Rev. Lett., 114, 114301(2015).
[36] S. D. Huber. Topological mechanics. Nat. Phys., 12, 621(2016).
[39] T. Ozawa et al. Topological photonics. Rev. Mod. Phys., 91, 015006(2019).
[45] A. Poddubny et al. Hyperbolic metamaterials. Nat. Photonics, 7, 948(2013).
[66] C. Zhang et al. Cycling Fermi arc electrons with Weyl orbits. Nat. Rev. Phys., 3, 660(2021).
[68] B. Q. Lv et al. Experimental discovery of Weyl semimetal TaAs. Phys. Rev. X, 5, 031013(2015).
[70] A. A. Soluyanov et al. Type-II Weyl semimetals. Nature, 527, 495(2015).
[74] D. Friedan. A proof of the Nielsen-Ninomiya theorem. Commun. Math. Phys., 85, 481(1982).
[77] Ş. K. Özdemir. Fermi arcs connect topological degeneracies. Science, 359, 995(2018).
[78] W. Gao et al. Photonic Weyl degeneracies in magnetized plasma. Nat. Commun., 7, 12435(2016).
[80] A. A. Soluyanov et al. Type-II Weyl semimetals. Nature, 527, 495(2015).
[82] J. Ma et al. Nonlinear photoresponse of type-II Weyl semimetals. Nat. Mater., 18, 476(2019).
[86] C. Fang et al. Topological semimetals with helicoid surface states. Nat. Phys., 12, 936(2016).
[91] Y. Yang et al. Veselago lensing with Weyl metamaterials. Optica, 8, 249(2021).
[102] C. Fang et al. Topological nodal line semimetals. Chin. Phys. B, 25, 117106(2016).
[116] S. M. Young et al. Dirac semimetal in three dimensions. Phys. Rev. Lett., 108, 140405(2012).
[122] A. B. Khanikaev et al. Photonic topological insulators. Nat. Mater., 12, 233(2013).
[124] C. N. Yang. SU2 monopole harmonics. J. Math. Phys., 19, 2622(1978).
[133] T. Kaelberer et al. Toroidal dipolar response in a metamaterial. Science, 330, 1510(2010).
[148] Q. Yan et al. Experimental discovery of nodal chains. Nat. Phys., 14, 461(2018).
[152] H.-X. Wang et al. Type-II Dirac photons. NPJ Quantum Mater., 2, 54(2017).
[153] A. B. Khanikaev et al. Photonic topological insulators. Nat. Mater., 12, 233(2013).
[157] A. B. Khanikaev et al. Photonic topological insulators. Nat. Mater., 12, 233(2013).
[171] R. El-Ganainy et al. Non-Hermitian physics and PT symmetry. Nat. Phys., 14, 11(2018).
[172] C. M. Bender. Making sense of non-Hermitian Hamiltonians. Rep. Prog. Phys., 70, 947(2007).
[173] S. Yu, X. Piao, N. Park. Topological hyperbolic lattices. Phys. Rev. Lett., 125, 053901(2020).
[178] B. Xie et al. Higher-order band topology. Nat. Rev. Phys., 3, 520(2021).