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Torus Knots in Adjoint Representation

High Energy Physics - Theory 2026-01-01 v2 Mathematical Physics Geometric Topology math.MP

Abstract

We derive a closed-form expression for the adjoint polynomials of torus knots and investigate their special properties. The results are presented in the very explicit double sum form and provide a deeper insight into the structure of adjoint invariants essential for the Vogel's universality of Chern-Simons theory.

Keywords

Cite

@article{arxiv.2512.23095,
  title  = {Torus Knots in Adjoint Representation},
  author = {Andrei Mironov and Vivek Kumar Singh},
  journal= {arXiv preprint arXiv:2512.23095},
  year   = {2026}
}

Comments

typos corrected, refs updated

R2 v1 2026-07-01T08:43:41.703Z