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arXiv · 2110.05640

K-theory of Jones polynomials

Andrey Glubokov·Igor Nikolaev
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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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Andrey Glubokov, Igor Nikolaev. 2021-10-11. K-theory of Jones polynomials. https://doi.org/10.1016/j.geomphys.2022.104678

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