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arXiv · 2304.07001

Resurgence, Habiro elements and strange identities

Samuel Crew·Veronica Fantini·Ankush Goswami·Robert Osburn·Campbell Wheeler
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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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Samuel Crew, Veronica Fantini, Ankush Goswami, Robert Osburn, Campbell Wheeler. 2023-04-14. Resurgence, Habiro elements and strange identities. https://doi.org/10.4310/cntp.250531025857

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