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Integral graded homology of Reeb chord complex of Legendrian knots in R^3

dc.contributor.advisorLi, Weiping
dc.contributor.authorYang, Xiaowei
dc.date.accessioned2015-06-17T20:08:48Z
dc.date.available2015-06-17T20:08:48Z
dc.date.issued2014-07
dc.identifier.urihttps://hdl.handle.net/11244/15211
dc.description.abstractThe main work of this thesis concerns the classification of Legendrian knots up to Legendrian isotopy in R^3 with standard contact structure. In the thesis, we construct a topological invariant of Legendrian knots: the integral graded homology of Reeb chord complex of Legendrian knots. The invariant is a Z-graded vector space over Z2.
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dc.languageen_US
dc.rightsCopyright is held by the author who has granted the Oklahoma State University Library the non-exclusive right to share this material in its institutional repository. Contact Digital Library Services at lib-dls@okstate.edu or 405-744-9161 for the permission policy on the use, reproduction or distribution of this material.
dc.titleIntegral graded homology of Reeb chord complex of Legendrian knots in R^3
dc.contributor.committeeMemberMyers, Robert
dc.contributor.committeeMemberNoell, Alan
dc.contributor.committeeMemberMcCann, Mindy
osu.filenameYANG_okstate_0664D_13526.pdf
osu.accesstypeOpen Access
dc.type.genreDissertation
dc.type.materialText
dc.subject.keywordslegendrian knot
dc.subject.keywordsreeb chord
thesis.degree.disciplineMathematics
thesis.degree.grantorOklahoma State University


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