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dc.contributor.advisor Harvey, Shelly
dc.creatorBosman, Anthony Michael
dc.date.accessioned 2017-08-02T14:43:04Z
dc.date.available 2017-08-02T14:43:04Z
dc.date.created 2017-05
dc.date.issued 2017-04-21
dc.date.submitted May 2017
dc.identifier.citation Bosman, Anthony Michael. "Shake Slice and Shake Concordant Links." (2017) Diss., Rice University. http://hdl.handle.net/1911/96152.
dc.identifier.urihttp://hdl.handle.net/1911/96152
dc.description.abstract The 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.mimetype application/pdf
dc.language.iso eng
dc.subjectconcordance
links
low dimensional topology
knot theory
dc.title Shake Slice and Shake Concordant Links
dc.date.updated 2017-08-02T14:43:04Z
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
thesis.degree.major Topology


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