The L2-Alexander invariant for knots and links
This 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 presentati...
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sg-ntu-dr.10356-728742023-02-28T23:41:06Z The L2-Alexander invariant for knots and links Wong, Zenas Andrew James Kricker School of Physical and Mathematical Sciences DRNTU::Science::Mathematics This 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. Doctor of Philosophy (SPMS) 2017-12-08T12:09:05Z 2017-12-08T12:09:05Z 2017 Thesis http://hdl.handle.net/10356/72874 en 62 p. application/pdf |
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Nanyang Technological University |
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Asia |
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Singapore Singapore |
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English |
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DRNTU::Science::Mathematics |
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DRNTU::Science::Mathematics Wong, Zenas The L2-Alexander invariant for knots and links |
| description |
This 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. |
| author2 |
Andrew James Kricker |
| author_facet |
Andrew James Kricker Wong, Zenas |
| format |
Theses and Dissertations |
| author |
Wong, Zenas |
| author_sort |
Wong, Zenas |
| title |
The L2-Alexander invariant for knots and links |
| title_short |
The L2-Alexander invariant for knots and links |
| title_full |
The L2-Alexander invariant for knots and links |
| title_fullStr |
The L2-Alexander invariant for knots and links |
| title_full_unstemmed |
The L2-Alexander invariant for knots and links |
| title_sort |
l2-alexander invariant for knots and links |
| publishDate |
2017 |
| url |
http://hdl.handle.net/10356/72874 |
| _version_ |
1759854805398847488 |