Date of Award
Fall 2011
Degree Type
Thesis
Degree Name
Master of Science (MSc)
Department
Mathematics and Statistics
Supervisor
Hans Boden
Co-Supervisor
Andrew Nicas, Maung Min-Oo
Language
English
Committee Member
Andrew Nicas, Maung Min-Oo
Abstract
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.
Recommended Citation
Parchimowicz, Michael, "From Classical to Unwelded - An Examination of Four Knot Classes" (2011). Open Access Dissertations and Theses. Paper 6371.
http://digitalcommons.mcmaster.ca/opendissertations/6371
McMaster University Library