Ankush.Goswami

Affiliation: University of Texas Rio Grande Valley

Title Of Talk: Resurgence, Habiro elements and strange identities

URLS:
https://arxiv.org/abs/2304.07001
https://link.intlpress.com/JDetail/1928527069532315649

Abstract: We prove resurgence properties for the Borel transform of a formal power series associated to elements in the Habiro ring which satisfy a general type of strange identity. As an application, we prove a conjecture in quantum topology due to Costin and Garoufalidis for two families of torus knots. This is a joint work with Crew (Imperial), Fantini (Orsay), Wheeler (IHES) and Osburn (UCC).

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