From Classical to Unwelded - An Examination of Four Knot Classes

Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/11403

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DC Field	Value	Language
dc.contributor.advisor	Boden, Hans U.	en_US
dc.contributor.advisor	Andrew Nicas, Maung Min-Oo	en_US
dc.contributor.advisor	Andrew Nicas, Maung Min-Oo	en_US
dc.contributor.author	Parchimowicz, Michael	en_US
dc.date.accessioned	2014-06-18T16:54:30Z	-
dc.date.available	2014-06-18T16:54:30Z	-
dc.date.created	2011-09-29	en_US
dc.date.issued	2011-10	en_US
dc.identifier.other	opendissertations/6371	en_US
dc.identifier.other	7393	en_US
dc.identifier.other	2265551	en_US
dc.identifier.uri	http://hdl.handle.net/11375/11403	-
dc.description.abstract	<p>This thesis is an introduction to virtual knots and the forbidden moves, and the closely related classes of welded and unwelded knots. Extensions of the Jones polynomial and the knot group to the various knot types are considered. We also examine the operation of connected sum for virtual and welded knots, and we review the proof that every virtual knot can be untied using the forbidden moves.</p>	en_US
dc.subject	Knot Theory	en_US
dc.subject	Virtual Knots	en_US
dc.subject	Welded Knots	en_US
dc.subject	Unwelded Knots	en_US
dc.subject	Geometry and Topology	en_US
dc.subject	Mathematics	en_US
dc.subject	Geometry and Topology	en_US
dc.title	From Classical to Unwelded - An Examination of Four Knot Classes	en_US
dc.type	thesis	en_US
dc.contributor.department	Mathematics and Statistics	en_US
dc.description.degree	Master of Science (MSc)	en_US
Appears in Collections:	Open Access Dissertations and Theses

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