On Hopf-induced deformation of topological locus

Abstract

We provide a very brief review of the description of colored invariants for the Hopf link in terms of characters, which need to be taken at a peculiar deformation of the topological locus, depending on one of the two representations associated with the two components of the link. Most important, we extend the description of this locus to conjugate and, generically, to composite representations and also define the "adjoint" Schur functions emerging in the dual description.

arXiv comment10 pages

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• Cauchy formula and the character ring
• Kerov functions for composite representations and Macdonald ideal
• On exclusive Racah matrices $\bar{S}$ for rectangular representations
• Can tangle calculus be applicable to hyperpolynomials?
• Difference of mutant knot invariants and their differential expansion
• Hopf superpolynomial from topological vertices
• Torus Knots in Adjoint Representation