Quantum invariants of links and 3-manifolds with boundary defined via virtual links.

We introduce new topological quantum invariants, <italic>surface link quantum invariants</italic>, of compact oriented 3-manifolds with boundary where the boundary is a disjoint union of two identical surfaces. The invariants are constructed by using virtual knots and links.These invariants are new, nontrivial, and calculable examples of quantum invariants of 3-manifolds with non-vacuous boundary.Our new invariants, surface link quantum invariants, give new invariants of classical knots and links, i.e., knots and links in the 3-sphere. That is, virtual knot theory induces a new, classical knot invariant. [ABSTRACT FROM AUTHOR]