Cocycle Knot Invariants, Quandle Extensions, and Alexander Matrices
  The theory of quandle (co)homology and cocycle knot invariants is rapidly being developed. We begin with a summary of these recent advances. One such advance is the notion of a dynamical cocycle.   We show how dynamical cocycles can be used to color knotted surfaces that are obtained from classical knots by twist-spinning. We also demonstrate relations between cocycle invariants and Alexander matrices. 
J. Scott Carter (Univ. of South Alabama), Angela Harris (Univ. of   South Alabama), Marina Appiou Nikiforou (Univ. of South ...