Seifert cobordisms and the Chen-Yang volume conjecture

Renaud Detcherry; Efstratia Kalfagianni; Shashini Marasinghe

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arXiv · 2505.01546

Seifert cobordisms and the Chen-Yang volume conjecture

Renaud Detcherry·Efstratia Kalfagianni·Shashini Marasinghe

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Abstract

We study the large $r$ asymptotic behavior of the Turaev-Viro invariants $TV_r(M; e^{\frac{2\pi i}{r}})$ of 3-manifolds with toroidal boundary, under the operation of gluing a Seifert-fibered 3-manifold along a component of $\partial M$. We show that the Turaev-Viro invariants volume conjecture is closed under this operation. As an application we prove the volume conjecture for all Seifert fibered 3-manifolds with boundary and for large classes of graph 3-manifolds.

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Renaud Detcherry, Efstratia Kalfagianni, Shashini Marasinghe. 2025-05-02. Seifert cobordisms and the Chen-Yang volume conjecture. https://arxiv.org/abs/2505.01546

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