An old branch of mathematics has paved the way for discovering new phases of matter.
References
Gamow, G. Biography of Physics (Dover, 1961).
t'Hooft, G. in Recent Developments in Gauge Theories (ed. t'Hooft, G. et al.) 117–133 (Plenum Press, 1980).
Lachieze-Rey, M. & Luminet, J.-P. Phys. Rep. 254, 135–214 (1995).
Luminet, J. P., Weeks, J., Riazuelo, A., Lehoucq, R. & Uzan, J. P. Nature 425, 593–595 (2003).
Cornish, N. J., Spergel, D. N., Starkman, G. D. & Komatsu, E. Phys. Rev. Lett. 92, 201302 (2004).
Planck Collaboration Astron. Astrophys. 571, A26 (2014).
Steenrod, N. E. The Topology of Fibre Bundles (Princeton Univ. Press, 1951).
Thouless, D. J., Kohmoto, M., Nightingale, M. P. & den Nijs, M. P. M. Phys. Rev. Lett. 49, 405–408 (1982).
Hasan, M. Z. & Kane, C. L. Rev. Mod. Phys. 82, 3045–3067 (2010).
Qi, X.-L. & Zhang, S.-C. Rev. Mod. Phys. 83, 1057–1110 (2011).
Moore, J. E. Nature 464, 194–198 (2010).
Kitaev, A. AIP Conf. Proc. 1134, 22–30 (2009).
Fu, L., Kane, C. L. & Mele, E. J. Phys. Rev. Lett. 98, 106803 (2007).
Berry, M. V. Proc. R. Soc. Lond. A Math. 392, 45–57 (1984).
Mukai, S. Nagoya Math. J. 81, 153–175 (1981).
Wang, Z., Qi, X. L. & Zhang, S. C. New J. Phys. 12, 065007 (2010).
Kane, C. L. & Mele, E. J. Phys. Rev. Lett. 95, 146802 (2005).
Fu, L. & Kane, C. L. Phys. Rev. B 76, 045302 (2007).
Schnyder, A. P., Ryu, S., Furusaki, A. & Ludwig, A. W. Phys. Rev. B 78, 195125 (2008).
Ryu, S., Schnyder, A. P., Furusaki, A. & Ludwig, A. W. New J. Phys. 12, 065010 (2010).
Goldman, N., Budich, J. C. & Zoller, P. Nature Phys. 12, 639–645 (2016).
Beenakker, C. & Kouwenhoven, L. Nature Phys. 12, 618–621 (2016).
Lu, L., Joannopoulos, J. D. & Soljačić, M. Nature Phys. 12, 626–629 (2016).
Kraus, Y. E. & Zilberberg, O. Nature Phys. 12, 624–626 (2016).
Huber, S. D. Nature Phys. 12, 621–623 (2016).
Atiyah, M. F. & Bott, R. Phil. Trans. Roy. Soc. Lond. A 308, 523–615 (1982).
Asorey, M. & Mitter, P. K. Ann. Inst. H. Poincare 45, 61–78 (1986).
Perelman, G. Preprint at https://arxiv.org/abs/math/0211159 (2002).
Perelman, G. Preprint at https://arxiv.org/abs/math/0303109 (2003).
Perelman, G. Preprint at https://arxiv.org/abs/math/0307245 (2003).
Acknowledgements
This work was partially supported by the Spanish MINECO grant FPA2015-65745-P (MINECO/FEDER) and DGA-FSE grant 2015-E24/2.
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Asorey, M. Space, matter and topology. Nature Phys 12, 616–618 (2016). https://doi.org/10.1038/nphys3800
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DOI: https://doi.org/10.1038/nphys3800
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