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...
Saved in:
Main Author: | |
---|---|
Other Authors: | |
Format: | Final Year Project |
Language: | English |
Published: |
Nanyang Technological University
2022
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/156920 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
id |
sg-ntu-dr.10356-156920 |
---|---|
record_format |
dspace |
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 |
_version_ |
1759853049880248320 |