A proof of The Radial Limit Conjecture for Costantino--Geer--Patureau-Mirand Quantum invariants

William Elbæk Mistegård; Yuya Murakami

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arXiv · 2408.07423

A proof of The Radial Limit Conjecture for Costantino--Geer--Patureau-Mirand Quantum invariants

William Elbæk Mistegård·Yuya Murakami

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Abstract

For a negative definite plumbed three-manifold, we give an integral representation of the appropriate average of the GPPV invariants of Gukov--Pei--Putrov--Vafa, which implies that this average admits a resurgent asymptotic expansion, the leading term of which is the Costantino--Geer--Patureau-Mirand invariant of the three-manifold. This proves a conjecture of Costantino--Gukov--Putrov.

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William Elbæk Mistegård, Yuya Murakami. 2024-08-14. A proof of The Radial Limit Conjecture for Costantino--Geer--Patureau-Mirand Quantum invariants. https://arxiv.org/abs/2408.07423

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