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Seifert fibered 3-manifolds and Turaev-Viro invariants volume conjecture

Published 14 Apr 2025 in math.GT and math.QA | (2504.10682v1)

Abstract: We study the large $r$ asymptotic behaviour of the Turaev-Viro invariants of oriented Seifert fibered 3-manifolds at the root $q=e\frac{2\pi i}{r}$. As an application, we prove the volume conjecture for large families of oriented Seifert fibered 3-manifolds with empty and non-empty boundary.

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