  In this paper we study oriented quantum coalgebras which are structures
closely related to oriented quantum algebras. We study the relationship between
oriented quantum coalgebras and oriented quantum algebras and the relationship
between oriented quantum coalgebras and quantum coalgebras. We show that there
are regular isotopy invariants of oriented 1-1 tangles and of oriented knots
and links associated to oriented and twist oriented quantum coalgebras
respectively. There are many parallels between the theory of oriented quantum
coalgebras and the theory of quantum coalgebras
