Resurgence, Habiro elements and strange identities

Published 14 Apr 2023 in math.NT, math-ph, math.GT, and math.MP | (2304.07001v3)

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.

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