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

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 \cite{CLZ}.

Cited by in corpus (1)

• Evolution properties of the knot's defect