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You searched for subject:(welded knots). Showing records 1 – 2 of 2 total matches.

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McMaster University

1. Parchimowicz, Michael. From Classical to Unwelded - An Examination of Four Knot Classes.

Degree: MSc, 2011, McMaster University

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.

Master of Science (MSc)

Advisors/Committee Members: Boden, Hans U., Andrew Nicas, Maung Min-Oo, Andrew Nicas, Maung Min-Oo, Mathematics and Statistics.

Subjects/Keywords: Knot Theory; Virtual Knots; Welded Knots; Unwelded Knots; Geometry and Topology; Mathematics; Geometry and Topology

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Parchimowicz, M. (2011). From Classical to Unwelded - An Examination of Four Knot Classes. (Masters Thesis). McMaster University. Retrieved from http://hdl.handle.net/11375/11403

Chicago Manual of Style (16th Edition):

Parchimowicz, Michael. “From Classical to Unwelded - An Examination of Four Knot Classes.” 2011. Masters Thesis, McMaster University. Accessed July 10, 2020. http://hdl.handle.net/11375/11403.

MLA Handbook (7th Edition):

Parchimowicz, Michael. “From Classical to Unwelded - An Examination of Four Knot Classes.” 2011. Web. 10 Jul 2020.

Vancouver:

Parchimowicz M. From Classical to Unwelded - An Examination of Four Knot Classes. [Internet] [Masters thesis]. McMaster University; 2011. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/11375/11403.

Council of Science Editors:

Parchimowicz M. From Classical to Unwelded - An Examination of Four Knot Classes. [Masters Thesis]. McMaster University; 2011. Available from: http://hdl.handle.net/11375/11403


University of Illinois – Chicago

2. Schneider, Jonathan. Diagrammatic Theories of 1- and 2- Dimensional Knots.

Degree: 2016, University of Illinois – Chicago

A meta-theory is described whereby any diagrammatic knot theory may be defined by specifying diagrams and moves. This is done explicitly in dimensions 1 and 2, with more abstract indication of how to extend the meta-theory to higher dimensions. Several examples are given in dimensions 1 and 2, with information about how the theories are related. A topological model for each theory is described. Particular focus is placed on virtual knot theory and welded knot theory, building on work by Kauffman, Satoh, and Rourke, with new results about Rourke's model of welded knots. Advisors/Committee Members: Kauffman, Louis H. (advisor), Radford, David (committee member), Takloo-Bighash, Ramin (committee member), Licht, Arthur L. (committee member), Culler, Marc (committee member).

Subjects/Keywords: knot theory; knot diagrams; surface knot theory; 2-knot theory; virtual knots; virtual knot theory; welded knots

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Schneider, J. (2016). Diagrammatic Theories of 1- and 2- Dimensional Knots. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/20811

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Schneider, Jonathan. “Diagrammatic Theories of 1- and 2- Dimensional Knots.” 2016. Thesis, University of Illinois – Chicago. Accessed July 10, 2020. http://hdl.handle.net/10027/20811.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Schneider, Jonathan. “Diagrammatic Theories of 1- and 2- Dimensional Knots.” 2016. Web. 10 Jul 2020.

Vancouver:

Schneider J. Diagrammatic Theories of 1- and 2- Dimensional Knots. [Internet] [Thesis]. University of Illinois – Chicago; 2016. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/10027/20811.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Schneider J. Diagrammatic Theories of 1- and 2- Dimensional Knots. [Thesis]. University of Illinois – Chicago; 2016. Available from: http://hdl.handle.net/10027/20811

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.