Resurgence of Habiro elements

Authors

Samuel Crew
Ankush Goswami, The University of Texas Rio Grande Valley
Robert Osburn

Document Type

Article

Publication Date

2023

Abstract

We prove resurgence properties for the Borel transform of elements in the Habiro ring which satisfy a general type of strange identity. As an application, we provide evidence for (and against) conjectures in quantum topology due to Costin and Garoufalidis.

Recommended Citation

Crew, Samuel, Ankush Goswami, and Robert Osburn. "Resurgence of Habiro elements." arXiv preprint arXiv:2304.07001 (2023).