Topological invariants of three-manifolds from Uq(osp(1|2n))

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