Jones polynomial

《Mathematical Physics: Classical Mechanics》 · 第 26 页 · Chapter 3，Definition 3.6

The Jones polynomial \(V(L)\) of an oriented link \(L\) is the Laurent polynomial in \(t^{1/2}\), with integer coefficients, defined by \(V(L)=\left((-A)^{-3w(D)}\langle D\rangle\right)_{t^{1/2}=A^{-2}}\in\mathbb Z[t^{-1/2},t^{1/2}]\), where \(D\) is any oriented diagram for \(L\).

《Symplectic Geometry》 · 第 221 页 · Section 9.2 末段，normalised bracket 与 Jones 的同一不变量及变量替换

The bracket construction is also far simpler than the algebraic process outlined above that led to the Jones polynomial, although, as we shall see, the normalised bracket and Jones polynomials are equivalent under a change of variable.