Show simple item record

dc.contributor.advisorSearle, Catherine
dc.contributor.authorHarper, Mia B.
dc.date.accessioned2018-01-29T17:54:25Z
dc.date.available2018-01-29T17:54:25Z
dc.date.issued2017-05
dc.identifier.othert17012
dc.identifier.urihttp://hdl.handle.net/10057/14472
dc.descriptionThesis (M.S.)--Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
dc.description.abstractIn this paper, we study smooth effective actions of the 2-dimensional torus group T 2 ~= SO(2)xSO(2) on simply connected, closed 4-dimensional manifolds. Using the conical orbit space of the quotient, a cross-sectioning theorem for the orbit map p : M ? M/G is achieved. An equivariant classification theorem is obtained as an application of the cross- sectioning theorem; it is shown that such a manifold is S4, S2 x S2, CP2, or CP2, that is,CP2 with the reverse orientation, or an equivariant connected sum of S2 x S2, CP2, or CP2 up to equivariant diffeomorphism. The decompositions are not unique.
dc.format.extentix, 63 pages
dc.language.isoen_US
dc.publisherWichita State University
dc.rightsCopyright 2017 by Mia Briana Harper All Rights Reserved
dc.subject.lcshElectronic dissertation
dc.titleTorus actions on simply connected 4-manifolds
dc.typeThesis


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record