Mathematics > Geometric Topology
arXiv:2504.10682 (math)
[Submitted on 14 Apr 2025 (v1), last revised 25 Jun 2026 (this version, v2)]
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.
Submission history
From: Shashini Marasinghe [view email]
[v1]
Mon, 14 Apr 2025 20:08:16 UTC (20 KB)
[v2]
Thu, 25 Jun 2026 00:15:52 UTC (19 KB)
Bibliographic Tools
Bibliographic and Citation Tools
Bibliographic Explorer Toggle
Code, Data, Media
Code, Data and Media Associated with this Article
Demos
Demos
Related Papers
Recommenders and Search Tools
About arXivLabs
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
























