Topological formula of the loop expansion of the colored Jones polynomials
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topologicalcoloredexpansionformulajoneslooppolynomialsquantum
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We give a topological formula of the loop expansion of the colored Jones polynomials by using identification of generic quantum sl2 representation with homological representations. This gives a direct topological proof of the Melvin-Morton-Rozansky conjecture, and a connection between entropy of braids and quantum representations.
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