The (n)-Solvable Filtration of the Link Concordance Group and Milnor's mu-Invariaants

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dc.contributor.advisorHarvey, Shelly
dc.creatorOtto, Carolyn Ann
dc.date.accessioned2013-03-08T00:37:23Z
dc.date.available2013-03-08T00:37:23Z
dc.date.issued2011
dc.description.abstractWe establish several new results about the ( n )-solvable filtration, [Special characters omitted.] , of the string link concordance group [Special characters omitted.] . We first establish a relationship between ( n )-solvability of a link and its Milnor's μ-invariants. We study the effects of the Bing doubling operator on ( n )-solvability. Using this results, we show that the "other half" of the filtration, namely [Special characters omitted.] , is nontrivial and contains an infinite cyclic subgroup for links with sufficiently many components. We will also show that links modulo (1)-solvability is a nonabelian group. Lastly, we prove that the Grope filtration, [Special characters omitted.] of [Special characters omitted.] is not the same as the ( n )-solvable filtration.
dc.format.extent69 p.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS MATH. 2011 OTTO
dc.identifier.citationOtto, Carolyn Ann. "The (n)-Solvable Filtration of the Link Concordance Group and Milnor's mu-Invariaants." (2011) Diss., Rice University. <a href="https://hdl.handle.net/1911/70379">https://hdl.handle.net/1911/70379</a>.
dc.identifier.digitalOttoCen_US
dc.identifier.urihttps://hdl.handle.net/1911/70379
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.subjectPure sciences
dc.subjectKnot theory
dc.subjectLink concordance
dc.subjectSolvable filtration
dc.subjectString links
dc.subjectMathematics
dc.titleThe (n)-Solvable Filtration of the Link Concordance Group and Milnor's mu-Invariaants
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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