Periodic 3-Manifolds and Modular Categories
Khaled Qazaqzeh
Abstract
A p-periodic 3-manifold is a 3-manifold that admits a Zp-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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