Topological invariants of three-manifolds from Uq(osp(12n))

摘要

We create Reshetikhin-Turaev topological invariants of closed orientable three-manifolds from the quantised superalgebra U_q(osp(1|2n)) at certain even roots of unity. To construct the invariants we develop tensor product theorems for finite dimensional modules of U_q(osp(1|2n)) at roots of unity.