School of Mathematical & Statistical Sciences Faculty Publications and Presentations

Resurgence, Habiro elements and strange identities

Document Type

Article

Publication Date

5-30-2025

Abstract

We prove resurgence properties for the Borel transform of a formal power series associated to elements in the Habiro ring that come from radial limits of partial theta series via strange identities. As an application, we prove a conjecture in quantum topology due to Costin and Garoufalidis for two families of torus knots.

Comments

Original published version available at https://doi.org/10.4310/CNTP.250531025857

Publication Title

Communications in Number Theory and Physics

DOI

10.4310/CNTP.250531025857

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