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Resurgence Analysis of Quantum Invariants of Seifert Fibered Homology Spheres
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For a Seifert fibered homology sphere we show that the q-series Z-hat invariant introduced by Gukov, Pei, Putrov and Vafa is a resummation of the Ohtsuki serie. We show that for every even level k there exists a full asymptotic expansion of Z-hat for q tending to a certain k'th root of unity and in particular that the limit exists and is equal to the WRT quantum invariant. We show that the poles of the Borel transform of the Ohtsuki series coincide with the classical complex Chern-Simons values, which we further show classifies the corresponding components of the moduli space of flat SL(2, C)-connections.
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Cited by 2 Pith papers
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Non-perturbative approaches to the quantum Seiberg-Witten curve
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Causal evidence for the primordiality of colours in trans-Neptunian objects
A causal-inference claim that TNO colours are primordial, asserted in the abstract, is unsupported because the submitted full text is an unrelated paper on ceff and bZ invariants.
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