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Growth of Turaev-Viro invariants and cabling (1805.01927v1)
Published 4 May 2018 in math.GT
Abstract: The Chen-Yang volume conjecture states that the growth rate of the Turaev-Viro invariants of a compact oriented $3$-manifold determines its simplicial volume. In this paper we prove that the Chen-Yang conjecture is stable under $(2n+1,2)$-cabling.