On gluing and splitting series invariants of plumbed 3-manifolds
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911599536635904 |
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| author | Moore, Allison H. Tarasca, Nicola |
| author_facet | Moore, Allison H. Tarasca, Nicola |
| contents | We study series invariants for plumbed 3-manifolds and knot complements twisted by a root lattice. Our series recover recent results of Gukov-Pei-Putrov-Vafa, Gukov-Manolescu, Park, and Ri and apply more generally to 3-manifolds which are not necessarily negative definite. We show that our series verify certain gluing and splitting properties related to the corresponding operations on 3-manifolds. We conclude with an explicit description of the case of lens spaces and Brieskorn spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On gluing and splitting series invariants of plumbed 3-manifolds Moore, Allison H. Tarasca, Nicola Geometric Topology Algebraic Geometry Quantum Algebra 57K31 (Primary), 57K16, 17B22 (Secondary) We study series invariants for plumbed 3-manifolds and knot complements twisted by a root lattice. Our series recover recent results of Gukov-Pei-Putrov-Vafa, Gukov-Manolescu, Park, and Ri and apply more generally to 3-manifolds which are not necessarily negative definite. We show that our series verify certain gluing and splitting properties related to the corresponding operations on 3-manifolds. We conclude with an explicit description of the case of lens spaces and Brieskorn spheres. |
| title | On gluing and splitting series invariants of plumbed 3-manifolds |
| topic | Geometric Topology Algebraic Geometry Quantum Algebra 57K31 (Primary), 57K16, 17B22 (Secondary) |
| url | https://arxiv.org/abs/2506.06515 |