Periodic 3-Manifolds and Modular Categories

Details Periodic 3-Manifolds and Modular Categories Periodic 3-Manifolds and Modular Categories

2005-05-18

arxiv.org/abs/math/0505393v2

Mathematics

Geometric Topology

6 pages, 2 figures

Scientific paper

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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