\backcite {Self}{{1}{}{Doc-Start}} \backcite {AudoxBellingeriMeilhanWagner:WeldedStringLinks}{{3}{1}{section.1}} \backcite {AudouxMeilhan:PeripheralSystems}{{3}{1}{section.1}} \backcite {BirmanBrendle:BraidsSurvey}{{3}{1}{section.1}} \backcite {AudouxMeilhan:PeripheralSystems}{{3}{1}{section.1}} \backcite {Enriquez:UniversalAlgebras, Enriquez:QuantizationFunctors}{{3}{1}{section.1}} \backcite {BirmanBrendle:BraidsSurvey}{{9}{2}{figure.caption.7}} \backcite {Kauffman:VirtualKnotTheory, Kauffman:RotationalVirtualKnots, Manturov:VirtualKnots}{{13}{4}{section.4}} \backcite {Talk:GvI}{{13}{4}{figure.caption.10}} \backcite {Chterental:VBandVCD, Chterental:Thesis}{{14}{4}{figure.caption.10}} \backcite {Chterental:VBandVCD, Chterental:Thesis}{{14}{4.1}{equation.4.1}} \backcite {Chterental:VBandVCD, Chterental:Thesis}{{14}{4.2}{equation.4.2}} \backcite {Chterental:VBandVCD, Chterental:Thesis}{{14}{4.3}{equation.4.3}} \backcite {Chterental:VBandVCD, Chterental:Thesis}{{14}{4.4}{equation.4.4}} \backcite {GodelleParis:WordProblems}{{14}{5}{equation.4.2}} \backcite {Bergman:Diamond, Sapir:CombinatorialAlgebra, Smolka:Confluence}{{18}{4}{Item.3}} \backcite {Newman:DiamondLemma}{{18}{4.16}{equation.4.16}} \backcite {Chterental:VBandVCD, Chterental:Thesis}{{23}{5.1}{equation.5.1}} \backcite {Artin:TheoryOfBraids}{{24}{5.4}{equation.5.4}} \backcite {AudoxBellingeriMeilhanWagner:UVWHomotopy}{{24}{5.4}{equation.5.4}} \backcite {Bar-Natan:glN}{{24}{5}{equation.5.5}} \backcite {Kauffman:RotationalVirtualKnots}{{25}{5.7}{equation.5.7}} \backcite {Woronowicz:Solutions, MurakamiVanDerVeen:Quantized}{{25}{5.8}{equation.5.8}} \backcite {Wolfram:Mathematica}{{27}{6}{section.6}} \backcite {Self}{{27}{6}{section.6}} \backcite {Self}{{31}{6.2}{subsection.6.2}} \backcite {Self}{{31}{6.2}{subsection.6.2}} \backcite {Epstein:WordProcessing}{{31}{6.3}{subsection.6.3}} \backcite {Bar-NatanMorrison:KnotTheory}{{31}{6.3}{subsection.6.3}} \backcite {Self}{{32}{6.3}{subsection.6.3}} \backcite {Self}{{35}{6.5}{subsection.6.5}} \backcite {Talk:OU}{{37}{7.1}{subsection.7.1}} \backcite {ThurstonD:Sutured}{{37}{7.1}{subsection.7.1}} \backcite {Milnor:LinkGroups}{{37}{7.2}{subsection.7.2}} \backcite {AudouxMeilhan:PeripheralSystems}{{37}{7.2}{subsection.7.2}} \backcite {AudouxMeilhan:PeripheralSystems}{{38}{7.2}{subsection.7.2}} \backcite {AudoxBellingeriMeilhanWagner:WeldedStringLinks}{{38}{7.2}{subsection.7.2}} \backcite {KBH}{{38}{7.2}{subsection.7.2}} \backcite {KBH}{{38}{7.2}{subsection.7.2}} \backcite {WKO2, WKO3, WKO4}{{38}{7.2}{subsection.7.2}} \backcite {WKO4}{{38}{7.2}{subsection.7.2}} \backcite {Enriquez:UniversalAlgebras, Enriquez:QuantizationFunctors}{{38}{7.2}{subsection.7.2}} \backcite {Enriquez:QuantizationFunctors}{{38}{7.2}{subsection.7.2}} \backcite {WKO2}{{38}{7.2}{subsection.7.2}} \backcite {Caen, MasterClass}{{38}{7.2}{subsection.7.2}} \backcite {WKO1}{{38}{7.2}{subsection.7.2}} \backcite {EtingofKazhdan:BialgebrasI, Severa:BialgebrasRevisited}{{38}{7.2}{subsection.7.2}} \backcite {Kauffman:VirtualKnotTheory}{{47}{22}{figure.caption.24}} \backcite {Turaev:Knotoids}{{47}{22}{figure.caption.24}}