A conjecture for the eigenvalues of pseudo-Anosov mappings of surfaces
In Geometric Topology, there is a conjectured relation between the supremum of the set containing virtual homological spectral radius of finite type covers of a surface and the hyperbolic volume of the mapping torus with respect to a pseduo-Anosov mapping class. In this thesis, I will create a progr...
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| Format: | Final Year Project |
| Language: | English |
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Nanyang Technological University
2022
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| Online Access: | https://hdl.handle.net/10356/156920 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | In Geometric Topology, there is a conjectured relation between the supremum of the set containing virtual homological spectral radius of finite type covers of a surface and the hyperbolic volume of the mapping torus with respect to a pseduo-Anosov mapping class. In this thesis, I will create a program to test this bound for the once-punctured torus. |
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