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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2023
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sg-ntu-dr.10356-1664842023-05-08T15:38:30Z On the skein theory of surfaces and the Bonahon-Wong asymptotic conjecture Yu, Xiaoming Andrew James Kricker School of Physical and Mathematical Sciences AJKricker@ntu.edu.sg Science::Mathematics 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. Bachelor of Science in Mathematical Sciences 2023-05-02T02:45:42Z 2023-05-02T02:45:42Z 2023 Final Year Project (FYP) Yu, X. (2023). On the skein theory of surfaces and the Bonahon-Wong asymptotic conjecture. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/166484 https://hdl.handle.net/10356/166484 en application/pdf Nanyang Technological University |
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Science::Mathematics Yu, Xiaoming On the skein theory of surfaces and the Bonahon-Wong asymptotic conjecture |
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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. |
| author2 |
Andrew James Kricker |
| author_facet |
Andrew James Kricker Yu, Xiaoming |
| format |
Final Year Project |
| author |
Yu, Xiaoming |
| author_sort |
Yu, Xiaoming |
| title |
On the skein theory of surfaces and the Bonahon-Wong asymptotic conjecture |
| title_short |
On the skein theory of surfaces and the Bonahon-Wong asymptotic conjecture |
| title_full |
On the skein theory of surfaces and the Bonahon-Wong asymptotic conjecture |
| title_fullStr |
On the skein theory of surfaces and the Bonahon-Wong asymptotic conjecture |
| title_full_unstemmed |
On the skein theory of surfaces and the Bonahon-Wong asymptotic conjecture |
| title_sort |
on the skein theory of surfaces and the bonahon-wong asymptotic conjecture |
| publisher |
Nanyang Technological University |
| publishDate |
2023 |
| url |
https://hdl.handle.net/10356/166484 |
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1770563714374696960 |