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

Research paper by Sacha Blumen

Indexed on: 18 Sep '02Published on: 18 Sep '02Published in: Mathematics - Quantum Algebra



Abstract

We create Resthetikhin-Turaev topological invariants of closed orientable three-manifolds from the quantum supergroup 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.