Super-A-polynomials for Twist Knots

Understand

We conjecture formulae of the colored superpolynomials for a class of twist knots $K_p$ where p denotes the number of full twists.

• The validity of the formulae is checked by applying differentials and taking special limits.
• Using the formulae, we compute both the classical and quantum super-A-polynomial for the twist knots with small values of p.
• The results support the categorified versions of the generalized volume conjecture and the quantum volume conjecture.