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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Main Author: Aravinth, Krishnan Ravi
Other Authors: Andrew James Kricker
Format: Final Year Project
Language:English
Published: Nanyang Technological University 2022
Subjects:
Online Access:https://hdl.handle.net/10356/156920
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Institution: Nanyang Technological University
Language: English
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spelling 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
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Mathematics::Topology
spellingShingle 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
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