科斯坦蒂诺--吉尔--帕泰奥--米兰量子不变式的 "径向极限猜想 "证明

arXiv - MATH - Quantum Algebra Pub Date : 2024-08-14 DOI:arxiv-2408.07423

William Elbæk Mistegård, Yuya Murakami

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引用次数: 0

摘要

对于负定垂三芒形，我们给出了Gukov--Pei--Putrov--Vafa的GPPV不变式的适当平均值的积分表示，这意味着该平均值允许一个回升渐近展开，其前导项是三芒形的Costantino--Geer--Patureau-Mirand不变式。这证明了科斯坦蒂诺--古科夫--普特罗夫的猜想。

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

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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arXiv - MATH - Quantum Algebra

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