Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911572443529216 |
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| author | Karuo, Hiroaki Wang, Zhihao |
| author_facet | Karuo, Hiroaki Wang, Zhihao |
| contents | We study a generalized Witten's finiteness conjecture for the skein modules of oriented compact 3-manifolds with boundary. We formulate an equivalent version of the generalized finiteness conjecture using handlebodies and 2-handles, and prove the conjecture for some classes with the handlebodies of genus 2 and 3 using the equivalent version. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00262 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles Karuo, Hiroaki Wang, Zhihao Geometric Topology Combinatorics Quantum Algebra We study a generalized Witten's finiteness conjecture for the skein modules of oriented compact 3-manifolds with boundary. We formulate an equivalent version of the generalized finiteness conjecture using handlebodies and 2-handles, and prove the conjecture for some classes with the handlebodies of genus 2 and 3 using the equivalent version. |
| title | Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles |
| topic | Geometric Topology Combinatorics Quantum Algebra |
| url | https://arxiv.org/abs/2401.00262 |