Periodic 3-Manifolds and Modular Categories

2005/05/18 by Khaled Qazaqzeh, Qazaqzeh, Khaled
Mathematics · #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M27

paper · pdf · doi:10.48550/arxiv.math/0505393

6 pages, 2 figures

arxiv created 2005/05/20 · arxiv updated 2009/12/01

Abstract

A p-periodic 3-manifold is a 3-manifold that admits a Z_p-action whose fixed point set is a circle. We give a congruence relates the quantum invariant of a p-periodic 3-manifold associated to any modular category over an integrally closed ground ring and the corresponding quantum invariant of its orbit space.

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