Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/72874
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dc.contributor.authorWong, Zenas
dc.date.accessioned2017-12-08T12:09:05Z
dc.date.available2017-12-08T12:09:05Z
dc.date.issued2017
dc.identifier.urihttp://hdl.handle.net/10356/72874
dc.description.abstractThis thesis focuses on the computation of L2 invariants. The first part is on the L2-Alexander invariant for knots and links. One presents the construction of this invariant, followed by its well known properties. In particular, one shows how to compute this invariant using deficiency 1 presentations, and also that this invariant detects the unknot. The second part gives explicit computations of the spectral density function of right multiplication operators arising from groups that are known to be virtually free. Finally, one presents a new proof of the pointwise a.e. convergence of the spectral density functions for for right multiplication operators R_w : l_2G -> l_2G.en_US
dc.format.extent62 p.en_US
dc.language.isoenen_US
dc.subjectDRNTU::Science::Mathematicsen_US
dc.titleThe L2-Alexander invariant for knots and linksen_US
dc.typeThesis
dc.contributor.supervisorAndrew James Krickeren_US
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.description.degree​Doctor of Philosophy (SPMS)en_US
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