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Knots and links are fascinating and intricate topological objects.
An expression of hopf’s invariant as an integral
Whitehead, J. H · 1947
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A theorem on force-free magnetic fields
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A unified field theory of mesons and baryons
Skyrme, T. H. R · 1962
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Destruction of long-range order in one-dimensional and two-dimensional systems having a continuous symmetry group i. classical systems
Berezinskii, V · 1971
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Ordering, metastability and phase transitions in two-dimensional systems
Kosterlitz, J. M. & Thouless, D. J · 1973
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Quantization of solitons
Faddeev, L · 1975
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Scaling concepts in polymer physics (Cornell Univ. Press, New York, 1979, 1979)
de Gennes, P. G · 1979
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Quantized hall conductance in a two-dimensional periodic potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P. & den Nijs, M · 1982
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Quantum field theory and the jones polynomial
Witten, E · 1989
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Stable knot-like structures in classical field theory
Faddeev, L. & Niemi, A. J · 1997
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Evolution of vortex knots
Ricca, R. L., Samuels, D. C. & Barenghi, C. F · 1999
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Algebraic Topology (Cambridge University Press, 2002)
Hatcher, A · 2002
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A model of glueballs
Buniy, R. V. & Kephart, T. W · 2003
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Creation of effective magnetic fields in optical lattices: the hofstadter butterfly for cold neutral atoms
Jaksch, D. & Zoller, P · 2003
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Molecular borromean rings
Chichak, K. S · 2004
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DNA topology (Oxford Univ. Press, Oxford, ed. 2, 2005, 2005)
Bates, A. D., Maxwell, A. & Press, O · 2005
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Spontaneous skyrmion ground states in magnetic metals
Rößler, U., Bogdanov, A. & Pfleiderer, C · 2006
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Topological insulators in three dimensions
Fu, L., Kane, C. L. & Mele, E. J · 2007
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Topological invariants of time-reversal-invariant band structures
Moore, J. E. & Balents, L · 2007
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Knots in a spinor bose-einstein condensate
Kawaguchi, Y., Nitta, M. & Ueda, M · 2008
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Topological surface states in three-dimensional magnetic insulators
Moore, J. E., Ran, Y. & Wen, X.-G · 2008
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A topological dirac insulator in a quantum spin hall phase
Hsieh, D · 2008
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Classification of topological insulators and superconductors in three spatial dimensions
Schnyder, A. P., Ryu, S., Furusaki, A. & Ludwig, A. W. W · 2008
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Inducing a magnetic monopole with topological surface states
Qi, X.-L., Li, R., Zang, J. & Zhang, S.-C · 2009
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Topological phases and the quantum spin hall effect in three dimensions
Roy, R · 2009
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Observation of a large-gap topological-insulator class with a single dirac cone on the surface
Xia, Y · 2009
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Periodic table for topological insulators and superconductors
Kitaev, A · 2009
Cited alongside, same era.
Biophysics of knotting
Meluzzi, D., Smith, D. E. & Arya, G · 2010
Cited alongside, same era.
Folding and cutting dna into reconfigurable topological nanostructures
Han, D., Pal, S., Liu, Y. & Yan, H · 2010
Cited alongside, same era.
Isolated optical vortex knots
Dennis, M. R., King, R. P., Jack, B., O’Holleran, K. & Padgett, M. J · 2010
Cited alongside, same era.
Knots and nonorientable surfaces in chiral nematics
Machon, T. & Alexander, G. P · 2013
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Topological colloids
Senyuk, B · 2013
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Generating the hopf fibration experimentally in nematic liquid crystals
Chen, B. G.-g., Ackerman, P. J., Alexander, G. P., Kamien, R. D. & Smalyukh, I. I · 2013
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Creation and dynamics of knotted vortices
Kleckner, D. & Irvine, W. T · 2013
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Hopf insulators and their topologically protected surface states
Deng, D.-L., Wang, S.-T., Shen, C. & Duan, L.-M · 2013
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Spin-orbit coupling in quantum gases
Galitski, V. & Spielman, I. B · 2013
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Colloquium: Topological insulators
Hasan, M. Z. & Kane, C. L · 2010
Cited alongside, same era.
The birth of topological insulators
Moore, J. E · 2010
Cited alongside, same era.
Wormhole effect in a strong topological insulator
Rosenberg, G., Guo, H.-M. & Franz, M · 2010
Cited alongside, same era.
Witten effect in a crystalline topological insulator
Rosenberg, G. & Franz, M · 2010
Cited alongside, same era.
Real-space observation of a two-dimensional skyrmion crystal
Yu, X · 2010
Cited alongside, same era.
Reconfigurable knots and links in chiral nematic colloids
Tkalec, U., Ravnik, M., Čopar, S., Žumer, S. & Muševič, I · 2011
Cited alongside, same era.
Beeler, M · 2013
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Experimental observation of the quantum anomalous hall effect in a magnetic topological insulator
Chang, C.-Z · 2013
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Knots and physics , vol. 53 (World scientific, 2013)
Kauffman, L. H · 2013
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Realizing the harper hamiltonian with laser-assisted tunneling in optical lattices
Miyake, H., Siviloglou, G. A., Kennedy, C. J., Burton, W. C. & Ketterle, W · 2013
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Realization of the hofstadter hamiltonian with ultracold atoms in optical lattices
Aidelsburger, M · 2013
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Knotted defects in nematic liquid crystals
Machon, T. & Alexander, G. P · 2014
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Mutually tangled colloidal knots and induced defect loops in nematic fields
Martinez, A · 2014
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Liquid crystals: Tangled loops and knots
Irvine, W. T. & Kleckner, D · 2014
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Experimental realization of the topological haldane model with ultracold fermions
Jotzu, G · 2014
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Systematic construction of tight-binding hamiltonians for topological insulators and superconductors
Deng, D.-L., Wang, S.-T. & Duan, L.-M · 2014
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Direct probe of topological order for cold atoms
Deng, D.-L., Wang, S.-T. & Duan, L.-M · 2014
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Probe of three-dimensional chiral topological insulators in an optical lattice
Wang, S.-T., Deng, D.-L. & Duan, L.-M · 2014
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Periodically driven quantum systems: Effective hamiltonians and engineered gauge fields
Goldman, N. & Dalibard, J · 2014
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Spin-dependent phenomena and device concepts explored in (Ga,Mn)As
Jungwirth, T · 2014
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Tying quantum knots
Hall, D. S · 2016
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Topological quantum matter with ultracold gases in optical lattices
Goldman, N., Budich, J. & Zoller, P · 2016
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Realization of two-dimensional spin-orbit coupling for bose-einstein condensates
Wu, Z · 2016
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