On the skein theory of surfaces and the Bonahon-Wong asymptotic conjecture
One of the most important developments in low-dimensional topology is the Bonahon-Wong-Yang intertwiners [BWY21][BWY22], which are used to study the representa- tion theory of skein algebra and to explore a version of the volume conjecture. In this paper, we first discuss some topological properties...
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| Format: | Final Year Project |
| Language: | English |
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Nanyang Technological University
2023
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| Online Access: | https://hdl.handle.net/10356/166484 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | One of the most important developments in low-dimensional topology is the Bonahon-Wong-Yang intertwiners [BWY21][BWY22], which are used to study the representa- tion theory of skein algebra and to explore a version of the volume conjecture. In this paper, we first discuss some topological properties of the four-punctured sphere such as its mapping class groups, triangulations and shear parameters; and then we investigate the Bonahon-Wong- Yang intertwiners of four-punctured sphere and try to make relevant calculations of certain pseudo-Anosov maps. |
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