Polynomial Invariants of Torus Knots and (p,q)-Calculus
  We introduce the deformed fermionic numbers, corresponding to the skein relations, the main characteristics of knots and links. These fermionic numbers allow one to restore the skein relations. For the Alexander (Jones) skein relation we introduce corresponding Alexander (Jones) fermionic q-numbers, and for the HOMFLY skein relation - the HOMFLY deformed (p,q)-numbers with one fermionic parameter. 
Anatoliy M. Pavlyuk
math.GT hep-th math-ph math.MP