Abstract
We introduce new topological quantum invariants, surface link quantum invariants, 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.
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