Cocycle Deformations of Algebraic Identities and R-matrices
  For an arbitrary identity L=R between compositions of maps L and R on tensors of vector spaces V, a general construction of a 2-cocycle condition is given. These 2-cocycles correspond to those obtained in deformation theories of algebras. The construction is applied to a canceling pairings and copairings, with explicit examples with calculations. Relations to the Kauffman bracket and knot invariants are discussed. 
J. Scott Carter (Univ. of South Alabama), Alissa Crans (Loyola   Marymount Univ.), Mohamed Elhamdadi (Univ. of South Florida...