Jozef Prztycki - Lectures in Knot Theory
Vladimir Turaev - Quantum Invariants of Knots and 3-Manifolds
Vladimir Turaev - "Skein Quantization of the Poisson Algebra of Loops on Surfaces"
Chrisitan Kassel - Quantum Groups
Chari and Pressley - A Guide to Quantum Groups, for a more geometric approach.