Bailey Pairs for the Tetrahedron Index
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917038998421504 |
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| author | Gahramanov, Ilmar Öztürk, Sinan Ulaş Turhan, Uveys |
| author_facet | Gahramanov, Ilmar Öztürk, Sinan Ulaş Turhan, Uveys |
| contents | In this work, we develop new Bailey pairs for the pentagon identity satisfied by the tetrahedron index, expressible in terms of $q$-series. Since the tetrahedron index underlies topological invariants of 3-manifolds and related knots, our construction may offer a new framework to deriving knot invariants through the Bailey chain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20999 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bailey Pairs for the Tetrahedron Index Gahramanov, Ilmar Öztürk, Sinan Ulaş Turhan, Uveys Geometric Topology High Energy Physics - Theory Mathematical Physics In this work, we develop new Bailey pairs for the pentagon identity satisfied by the tetrahedron index, expressible in terms of $q$-series. Since the tetrahedron index underlies topological invariants of 3-manifolds and related knots, our construction may offer a new framework to deriving knot invariants through the Bailey chain. |
| title | Bailey Pairs for the Tetrahedron Index |
| topic | Geometric Topology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2510.20999 |