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dc.contributor.authorTeo, Joven Jia Xuanen_US
dc.identifier.citationTeo, J. J. X. (2022). On the L2-torsion of the figure-of-eight knot complement. Final Year Project (FYP), Nanyang Technological University, Singapore.
dc.description.abstractFor 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.publisherNanyang Technological Universityen_US
dc.titleOn the L2-torsion of the figure-of-eight knot complementen_US
dc.typeFinal Year Project (FYP)en_US
dc.contributor.supervisorAndrew James Krickeren_US
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.description.degreeBachelor of Science in Mathematical Sciencesen_US
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Appears in Collections:SPMS Student Reports (FYP/IA/PA/PI)
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