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Experimental Mathematics Volume 22, 2013 - Issue 3
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Original Articles

On Stable Khovanov Homology of Torus Knots

Eugene Gorsky Department of Mathematics, Stony Brook University, Stony Brook, NY, 11794, USA
,
Alexei Oblomkov Department of Mathematics, University of Massachusetts, Amherst, MA, 01003, USA
&
Jacob Rasmussen Department of Pure Mathematics, University of Cambridge, Centre for Mathematics Sciences, Wilberforce Road, Cambridge, CB3 0WB, UK
Pages 265-281 | Published online: 16 Sep 2013

Citations (20)

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Sujoy Mukherjee, Józef H. Przytycki, Marithania Silvero, Xiao Wang & Seung Yeop Yang. (2018) Search for Torsion in Khovanov Homology. Experimental Mathematics 27:4, pages 488-497.
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Eugene Gorsky & Lukas Lewark. (2015) On Stable -Homology of Torus Knots. Experimental Mathematics 24:2, pages 162-174.
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Articles from other publishers (18)

Catharina Stroppel & Joshua Sussan. (2022) A Lie theoretic categorification of the coloured Jones polynomial. Journal of Pure and Applied Algebra 226:10, pages 107043.
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Eugene Gorsky, Andrei Neguţ & Jacob Rasmussen. (2021) Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology. Advances in Mathematics 378, pages 107542.
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Matthew Hogancamp. (2020) Morphisms between categorified spin networks. Journal of Knot Theory and Its Ramifications 29:11, pages 2050045.
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Alexander Gorsky, Peter Koroteev, Olesya Koroteeva & Arkady Vainshtein. (2020) On dimensional transmutation in 1 + 1D quantum hydrodynamics. Journal of Mathematical Physics 61:8.
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Yuzhe Bai, Eugene Gorsky & Oscar Kivinen. (2019) Quadratic ideals and Rogers–Ramanujan recursions. The Ramanujan Journal 52:1, pages 67-89.
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Ben Elias & Matthew Hogancamp. (2018) On the computation of torus link homology. Compositio Mathematica 155:1, pages 164-205.
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Young Kwun, Abdul Nizami, Mobeen Munir, Zaffar Iqbal, Dishya Arshad & Shin Min Kang. (2018) Khovanov Homology of Three-Strand Braid Links. Symmetry 10:12, pages 720.
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Józef H. Przytycki & Marithania Silvero. (2017) Homotopy type of circle graph complexes motivated by extreme Khovanov homology. Journal of Algebraic Combinatorics 48:1, pages 119-156.
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Matthew Hogancamp. (2018) Categorified Young symmetrizers and stable homology of torus links. Geometry & Topology 22:5, pages 2943-3002.
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A. Anokhina & A. Morozov. (2018) Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots?. Journal of High Energy Physics 2018:4.
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Shashank Kanade. (2018) On a Koszul complex related to the principal subspace of the basic vacuum module for . Journal of Pure and Applied Algebra 222:2, pages 323-339.
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A. Yu. Morozov, A. A. Morozov & A. V. Popolitov. (2017) Matrix model and dimensions at hypercube vertices. Theoretical and Mathematical Physics 192:1, pages 1039-1079.
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Алексей Юрьевич Морозов, Aleksei Yur'evich Morozov, Андрей Алексеевич Морозов, Andrei Alekseevich Morozov, Александр Викторович Пополитов & Aleksandr Viktorovich Popolitov. (2017) Матричные модели и размерности в вершинах гиперкубовMatrix model and dimensions at hypercube vertices. Теоретическая и математическая физика Teoreticheskaya i Matematicheskaya Fizika 192:1, pages 115-163.
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Michael Willis. (2016) Stabilization of the Khovanov Homotopy Type of Torus Links. International Mathematics Research Notices, pages rnw127.
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Michael J. Griffin, Ken Ono & S. Ole Warnaar. (2016) A framework of Rogers–Ramanujan identities and their arithmetic properties. Duke Mathematical Journal 165:8.
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A. Gorsky & A. Milekhin. (2015) Condensates and instanton – torus knot duality. Hidden Physics at UV scale. Nuclear Physics B 900, pages 366-399.
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Eugene Gorsky, Alexei Oblomkov, Jacob Rasmussen & Vivek Shende. (2014) Torus knots and the rational DAHA. Duke Mathematical Journal 163:14.
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A. Anokhina & A. Morozov. (2014) Towards ℛ-matrix construction of Khovanov-Rozansky polynomials I. Primary T-deformation of HOMFLY. Journal of High Energy Physics 2014:7.
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