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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.07423 |
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| _version_ | 1866914912845955072 |
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| author | Mistegård, William Elbæk Murakami, Yuya |
| author_facet | Mistegård, William Elbæk Murakami, Yuya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07423 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A proof of The Radial Limit Conjecture for Costantino--Geer--Patureau-Mirand Quantum invariants Mistegård, William Elbæk Murakami, Yuya Geometric Topology Quantum Algebra 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. |
| title | A proof of The Radial Limit Conjecture for Costantino--Geer--Patureau-Mirand Quantum invariants |
| topic | Geometric Topology Quantum Algebra |
| url | https://arxiv.org/abs/2408.07423 |