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Colored knot invariants from Reshetikhin-Turaev approach

Presented by: 
Alexey Sleptsov ITEP (Institute for Theoretical and Experimental Physics)
Date: 
Thursday 13th April 2017 -
13:30 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 
I will discuss Reshetikhin-Turaev approach for construction of colored quantum link invariants, which are colored HOMFLY polynomials in the case of sl(N). This approach involves quantum R-matrices and inclusive quantum Racah coefficients also known as 6-j symbols and provides a systematic way for calculation of colored invariants. I will present our recent results for three-strand knots and relation with an alternative approach coming from WZW CFT.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons