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dc.contributor.advisorGompf, Roberten
dc.creatorEarle, Gabrielen
dc.date.accessioned2014-05-07T15:25:54Zen
dc.date.available2014-05-07T15:25:54Zen
dc.date.issued2014-05en
dc.identifier.urihttp://hdl.handle.net/2152/24406en
dc.description.abstractThis thesis examines an important problem in the field of differential topology: the 4-dimensional smooth Poincaré conjecture. More specifically we analyze a class of objects known as Cappell-Shaneson spheres and the question of whether or not they are counterexamples to the conjecture. We prove some results which expand the class of Cappell-Shaneson spheres that are known to be standard. In addition, we find some interesting patterns in Cappell-Shaneson matrices which may provide useful directions for further research into the question of whether or not the associated manifolds are standard.en
dc.language.isoengen
dc.subject4-manifoldsen
dc.subjectsmooth 4-dimensional Poincare conjectureen
dc.subjectCappell-Shaneson spheresen
dc.subjectdifferential topologyen
dc.titleEven more Cappell-Shaneson spheres are standarden
dc.typeThesisen
dc.description.departmentMathematicsen


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