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Periodic 3-Manifolds and Modular Categories

Khaled Qazaqzeh
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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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Khaled Qazaqzeh. 2005-05-20. Periodic 3-Manifolds and Modular Categories. https://arxiv.org/abs/math/0505393

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