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

2002/09/18 by Sacha C. Blumen, Sacha Blumen, Blumen, Sacha
Mathematics · #17B37 #57M27 #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.GT #math.QA #msc:17B37 #msc:57M27

paper · pdf · doi:10.48550/arxiv.math/0209218

6 pages, latex, no figures, submitted to the proceedings of the 24th International Colloqium on Group Theoretical Methods in Physics held in Paris, July 2002

arxiv created 2002/09/18 · openalex publication_date 2002/09/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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