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The Geometry and Physics of Knots
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  • Cited by 106
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Cho, Y. M. Oh, Seung Hun and Zhang, Pengming 2018. Knots in physics. International Journal of Modern Physics A, Vol. 33, Issue. 07, p. 1830006.

    Anokhina, A. and Morozov, A. 2018. Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots?. Journal of High Energy Physics, Vol. 2018, Issue. 4,

    Pavlyuk, A. M. 2018. Generalized Equidistant Chebyshev Polynomials and Alexander Knot Invariants. Ukrainian Journal of Physics, Vol. 63, Issue. 6, p. 488.

    Kauffman, Louis H. and Lomonaco, Samuel J. 2018. Braiding, Majorana fermions, Fibonacci particles and topological quantum computing. Quantum Information Processing, Vol. 17, Issue. 8,

    Fehér, László Stipsicz, András and Szenthe, János 2017. Raoul Bott: Collected Papers. p. 163.

    Lawton, Sean and Sikora, Adam S. 2017. Varieties of Characters. Algebras and Representation Theory, Vol. 20, Issue. 5, p. 1133.

    Morozov, A. Yu. Morozov, A. A. and Popolitov, A. V. 2017. Matrix model and dimensions at hypercube vertices. Theoretical and Mathematical Physics, Vol. 192, Issue. 1, p. 1039.

    Dalakov, Peter 2017. Lectures on Higgs moduli and abelianisation. Journal of Geometry and Physics, Vol. 118, Issue. , p. 94.

    Rañada, Antonio F. Tiemblo, Alfredo and Trueba, José L. 2017. Time evolving potentials for electromagnetic knots. International Journal of Geometric Methods in Modern Physics, Vol. 14, Issue. 05, p. 1750073.

    Dimofte, Tudor 2017. Perturbative and nonperturbative aspects of complex Chern–Simons theory. Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue. 44, p. 443009.

    Sutcliffe, Paul 2017. Skyrmion Knots in Frustrated Magnets. Physical Review Letters, Vol. 118, Issue. 24,

    Ibort, Alberto and Spivak, Amelia 2017. Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories. Journal of Geometric Mechanics, Vol. 9, Issue. 1, p. 47.

    Carfora, Mauro and Marzuoli, Annalisa 2017. Quantum Triangulations. Vol. 942, Issue. , p. 263.

    Marzuoli, Annalisa and Rasetti, Mario 2017. Spin Network Quantum Circuits. International Journal of Circuit Theory and Applications, Vol. 45, Issue. 7, p. 951.

    Морозов, Алексей Юрьевич Morozov, Aleksei Yur'evich Морозов, Андрей Алексеевич Morozov, Andrei Alekseevich Пополитов, Александр Викторович and Popolitov, Aleksandr Viktorovich 2017. Матричные модели и размерности в вершинах гиперкубов. Теоретическая и математическая физика, Vol. 192, Issue. 1, p. 115.

    Morozov, A. Yu. 2016. Are there p-adic knot invariants?. Theoretical and Mathematical Physics, Vol. 187, Issue. 1, p. 447.

    Морозов, Алексей Юрьевич and Morozov, Aleksei Yur'evich 2016. Существуют ли $p$-адические инварианты узлов?. Теоретическая и математическая физика, Vol. 187, Issue. 1, p. 3.

    Adhikari, Mahima Ranjan 2016. Basic Algebraic Topology and its Applications. p. 445.

    Kauffman, Louis H. 2016. Open Problems in Mathematics. p. 303.

    Morozov, A. 2016. Factorization of differential expansion for antiparallel double-braid knots. Journal of High Energy Physics, Vol. 2016, Issue. 9,

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Book description

These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah here presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.


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