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https://hdl.handle.net/10356/156888
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Teo, Joven Jia Xuan | en_US |
dc.date.accessioned | 2022-04-27T05:54:06Z | - |
dc.date.available | 2022-04-27T05:54:06Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Teo, J. J. X. (2022). On the L2-torsion of the figure-of-eight knot complement. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/156888 | en_US |
dc.identifier.uri | https://hdl.handle.net/10356/156888 | - |
dc.description.abstract | For each prime p congruent to 1 modulo 6, we construct a cover of the figure-of-eight knot complement and describe its structure as a Z-CW-complex. We then state a conjecture relating the limit of the L2-torsion of these covers as p approaches infinity to the L2-torsion of the universal cover, which is known to be proportional to the hyperbolic volume of the figure-of-eight knot complement. Both numerical evidence and theoretical results in this direction are then presented. In particular, we prove that the L2-torsion in this case can be expressed as the Mahler measure of the characteristic polynomial of a certain block matrix built up from permutation matrices. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Nanyang Technological University | en_US |
dc.subject | Science::Mathematics::Topology | en_US |
dc.title | On the L2-torsion of the figure-of-eight knot complement | en_US |
dc.type | Final Year Project (FYP) | en_US |
dc.contributor.supervisor | Andrew James Kricker | en_US |
dc.contributor.school | School of Physical and Mathematical Sciences | en_US |
dc.description.degree | Bachelor of Science in Mathematical Sciences | en_US |
dc.contributor.supervisoremail | AJKricker@ntu.edu.sg | en_US |
item.fulltext | With Fulltext | - |
item.grantfulltext | restricted | - |
Appears in Collections: | SPMS Student Reports (FYP/IA/PA/PI) |
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File | Description | Size | Format | |
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On the L2-torsion of the figure-of-eight knot complement.pdf Restricted Access | 817.7 kB | Adobe PDF | View/Open |
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