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Growth of Turaev–Viro invariants and cabling

Department of Mathematics, Michigan State University, East Lansing 48824, MI, USA

https://doi.org/10.1142/S021821651950041XCited by:2 (Source: Crossref)

Abstract

The Chen–Yang volume conjecture [Q. Chen and T. Yang, Volume conjectures for the Reshetikhin–Turaev and the Turaev–Viro invariants, preprint (2015), arXiv:1503.02547] states that the growth rate of the Turaev–Viro invariants of a compact oriented $3$ $3$ -manifold determines its simplicial volume. In this paper, we prove that the Chen–Yang conjecture is stable under $(2 n + 1, 2)$ $(2 n + 1, 2)$ -cabling.

Keywords:

AMSC: 57M27

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