Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots

2021/10/07 by Qingtao Chen, Kefeng Liu, Chen, Qingtao +3
Mathematics · #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2110.03616

Abstract

In this short note, we prove the cyclotomic expansion formula for the colored HOMFLY-PT invariant of double twist knots, it confirms the cyclotomic expansion conjecture for SU(N)-invariants proposed in \citeCLZ.

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