Please use this identifier to cite or link to this item:
Results on Algebraic Realization of Equivariant Bundles Over the 2-Sphere
|2016-08-phd-verrette r.pdf||Version for non-UH users. Copying/Printing is not permitted||578.78 kB||Adobe PDF||View/Open|
|2016-08-phd-verrette uh.pdf||For UH users only||573.65 kB||Adobe PDF||View/Open|
|Title:||Results on Algebraic Realization of Equivariant Bundles Over the 2-Sphere|
real algebraic sets
equivariant complex vector bundle
Lie group actions
|Date Issued:||Aug 2016|
|Publisher:||[Honolulu] : [University of Hawaii at Manoa], [August 2016]|
|Abstract:||We verify the Algebraic Realization Conjecture for complex equivariant vector bundles over the 2-sphere with effective actions by the rotational symmetries of the tetrahedron, octahedron, and icosahedron. We introduce three strongly algebraic complex line bundles over the 2-sphere by direct construction of classifying maps. We demonstrate how every equivariant complex line bundle is a tensor product of these three established strongly algebraic bundles, and any equivariant complex vector bundle over the 2-sphere is a Whitney sum of equivariant complex line bundles. Our classification proofs rely on equivariant CW complex constructions and the induced equivariant pointed cofibration sequences.|
|Description:||Ph.D. University of Hawaii at Manoa 2016.|
Includes bibliographical references.
|Appears in Collections:||
Ph.D. - Mathematics|
Please email email@example.com if you need this content in ADA-compliant format.
Items in ScholarSpace are protected by copyright, with all rights reserved, unless otherwise indicated.