Infection By A String Link

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dc.contributor.advisorHassett, Brendanen_US
dc.contributor.committeeMemberHarvey, Shellyen_US
dc.contributor.committeeMemberCox, Steveen_US
dc.contributor.committeeMemberLeidy, Constanceen_US
dc.creatorVela, Diegoen_US
dc.date.accessioned2016-01-27T17:46:10Zen_US
dc.date.available2016-01-27T17:46:10Zen_US
dc.date.created2015-05en_US
dc.date.issued2015-04-23en_US
dc.date.submittedMay 2015en_US
dc.date.updated2016-01-27T17:46:10Zen_US
dc.description.abstractSatellite constructions on a knot can be thought of as taking some strands of a knot and then tying in another knot. Using satellite constructions one can construct many distinct isotopy classes of knots. Pushing this further one can construct distinct concordance classes of knots which preserve some algebraic invariants. Infection is a generalization of satellite operations which has been previously studied. An infection by a string link can be thought of as grabbing a knot at multiple locations and then tying in a link. Cochran, Friedl and Teichner showed that any algebraically slice knot is the result of infecting a slice knot by a string link(1). In this paper we use the infection construction to show that there exist knots which arise from infections by n-component string links that cannot be obtained by (n − 1)-component string links.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationVela, Diego. "Infection By A String Link." (2015) Diss., Rice University. <a href="https://hdl.handle.net/1911/88181">https://hdl.handle.net/1911/88181</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/88181en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectKnoten_US
dc.subjectLinken_US
dc.subjectString Linken_US
dc.subjectToplologyen_US
dc.subjectLow Dimensional Topologyen_US
dc.subjectString Link Infectionen_US
dc.subjectConcordanceen_US
dc.subjectKnot Concordanceen_US
dc.subjecten_US
dc.titleInfection By A String Linken_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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