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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| التنسيق: | Final Year Project |
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Nanyang Technological University
2022
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sg-ntu-dr.10356-1569202023-02-28T23:11:02Z A conjecture for the eigenvalues of pseudo-Anosov mappings of surfaces Aravinth, Krishnan Ravi Andrew James Kricker School of Physical and Mathematical Sciences AJKricker@ntu.edu.sg Science::Mathematics::Topology 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. Bachelor of Science in Mathematical Sciences 2022-04-27T08:37:41Z 2022-04-27T08:37:41Z 2022 Final Year Project (FYP) Aravinth, K. R. (2022). A conjecture for the eigenvalues of pseudo-Anosov mappings of surfaces. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/156920 https://hdl.handle.net/10356/156920 en application/pdf Nanyang Technological University |
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Nanyang Technological University |
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NTU Library |
| continent |
Asia |
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Singapore Singapore |
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NTU Library |
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English |
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Science::Mathematics::Topology |
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Science::Mathematics::Topology Aravinth, Krishnan Ravi A conjecture for the eigenvalues of pseudo-Anosov mappings of surfaces |
| description |
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. |
| author2 |
Andrew James Kricker |
| author_facet |
Andrew James Kricker Aravinth, Krishnan Ravi |
| format |
Final Year Project |
| author |
Aravinth, Krishnan Ravi |
| author_sort |
Aravinth, Krishnan Ravi |
| title |
A conjecture for the eigenvalues of pseudo-Anosov mappings of surfaces |
| title_short |
A conjecture for the eigenvalues of pseudo-Anosov mappings of surfaces |
| title_full |
A conjecture for the eigenvalues of pseudo-Anosov mappings of surfaces |
| title_fullStr |
A conjecture for the eigenvalues of pseudo-Anosov mappings of surfaces |
| title_full_unstemmed |
A conjecture for the eigenvalues of pseudo-Anosov mappings of surfaces |
| title_sort |
conjecture for the eigenvalues of pseudo-anosov mappings of surfaces |
| publisher |
Nanyang Technological University |
| publishDate |
2022 |
| url |
https://hdl.handle.net/10356/156920 |
| _version_ |
1759853049880248320 |