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Quantum Invariants of Periodic Links and Periodic 3-Manifolds

2004/08/25 by Qi Chen, Chen, Qi, Thang T. Q. Lê +2
Mathematics · #57M27 #57R56 #Advanced Combinatorial Mathematics #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #math.GT #math.QA #msc:57M27 #msc:57R56

paper · pdf · doi:10.48550/arxiv.math/0408358

18 pages with 1 figure

openalex publication_date 2004/08/25 · arxiv created 2004/11/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give criteria for framed links and 3-manifolds to be periodic of prime order. As applications we show that the Poincare sphere is of periodicity 2, 3, 5 only and the Brieskorn sphere (2,3,7) is of periodicity 2, 3, 7 only.

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