Shake Slice and Shake Concordant Links

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dc.contributor.advisorHarvey, Shelly
dc.creatorBosman, Anthony Michael
dc.date.accessioned2017-08-02T14:43:04Z
dc.date.available2017-08-02T14:43:04Z
dc.date.created2017-05
dc.date.issued2017-04-21
dc.date.submittedMay 2017
dc.date.updated2017-08-02T14:43:04Z
dc.description.abstractThe study of knots and links up to concordance has proved significant for many problems in low dimensional topology. In the 1970s, Akbulut introduced the notion of shake concordance of knots, a generalization of the study of knot concordance. Recent work of Cochran and Ray has advanced our understanding of how shake concordance relates to concordance, although fundamental questions remain, especially for the class of shake slice knots. We extend the notion of shake concordance to links, generalizing much of what is known for knots, and offer a characterization in terms of link concordance and the infection of a link by a string link. We also discuss a number of invariants and properties of link concordance which extend to shake concordance of links, as well as note several that do not. Finally, we give several obstructions to a link being shake slice.
dc.format.mimetypeapplication/pdf
dc.identifier.citationBosman, Anthony Michael. "Shake Slice and Shake Concordant Links." (2017) Diss., Rice University. <a href="https://hdl.handle.net/1911/96152">https://hdl.handle.net/1911/96152</a>.
dc.identifier.urihttps://hdl.handle.net/1911/96152
dc.language.isoeng
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.
dc.subjectconcordance
dc.subjectlinks
dc.subjectlow dimensional topology
dc.subjectknot theory
dc.titleShake Slice and Shake Concordant Links
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.majorTopology
thesis.degree.nameDoctor of Philosophy
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