Bruno CisnerosMarcelo FloresJesús JuyumayaChristopher Roque-Márquez2026-03-222026-03-22202210.1142/s0218216522500900https://doi.org/10.1142/s0218216522500900https://andeanlibrary.org/handle/123456789/46073Citaciones: 9We construct an Alexander-type invariant for oriented doodles from a deformation of the Tits representation of the twin group and from the Chebyshev polynomials of the second kind. Like the Alexander polynomial, our invariant vanishes on unlinked doodles with more than one component. We also include values of our invariant on several doodles.enMathematicsInvariant (physics)Alexander polynomialFinite type invariantPure mathematicsInvariant polynomialChebyshev filterAlgebra over a fieldCombinatoricsarticle