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K-theory of Jones polynomials (2110.05640v2)
Published 11 Oct 2021 in math.OA, math.GT, and math.RT
Abstract: We recover the Jones polynomials of knots and links from the K-theory of a cluster C*-algebra of the sphere with two cusps. In particular, an interplay between the Chebyshev and Jones polynomials is studied.
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