COLORED HOMFLY POLYNOMIALS FROM CHERN–SIMONS THEORY
Autor: | Satoshi Nawata, P. Ramadevi, Zodinmawia |
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Rok vydání: | 2013 |
Předmět: |
Knots
High Energy Physics - Theory Algebra and Number Theory Invariants Chern–Simons theory FOS: Physical sciences Mathematical Physics (math-ph) Colored Homfly Polynomials Mathematics::Geometric Topology Knot theory Algebra Chern-Simons Theory High Energy Physics - Theory (hep-th) Colored Mathematics::Quantum Algebra Variety (universal algebra) Quantum Links Mathematical Physics Mathematics |
Zdroj: | Journal of Knot Theory and Its Ramifications. 22:1350078 |
ISSN: | 1793-6527 0218-2165 |
DOI: | 10.1142/s0218216513500788 |
Popis: | We elaborate the Chern-Simons field theoretic method to obtain colored HOMFLY invariants of knots and links. Using multiplicity-free quantum 6j-symbols for U_q(sl_N), we present explicit evaluations of the HOMFLY invariants colored by symmetric representations for a variety of knots, two-component links and three-component links. 40 pages, 23 figures, a Mathematica notebook linked on the right as an ancillary file; v2 typos corrected; v3 corrections in section 4.2 and cosmetic changes; v4 corrections in two-component links |
Databáze: | OpenAIRE |
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