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Equivariant bordism and G-bundles Grguric, Izak
Abstract
Let G be the cyclic group of 4 elements and H the subgroup of G of order 2. We study the actions of G on manifolds modulo the equivariant bordism relation by studying the equivariant bordism relation on G-vector bundles; specifically, we focus on G-vector bundles such that G action is free away from the zero section, and the isotropy group of each point in the base is equal to H. We obtain a complete set of characteristic numbers that deter mines when such a G-vector bundle is nulibordant. Using this result, we obtain a geometric splitting of the bordism classes of these bundles into ge ometrically simpler components. Furthermore, we determine a complete set of characteristic numbers for the bordism ring of G-manifolds. Finally, we generalize our results to a larger family of finite groups G.
Item Metadata
Title |
Equivariant bordism and G-bundles
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2008
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Description |
Let G be the cyclic group of 4 elements and H the subgroup of G of order
2. We study the actions of G on manifolds modulo the equivariant bordism
relation by studying the equivariant bordism relation on G-vector bundles;
specifically, we focus on G-vector bundles such that G action is free away
from the zero section, and the isotropy group of each point in the base is
equal to H. We obtain a complete set of characteristic numbers that deter
mines when such a G-vector bundle is nulibordant. Using this result, we
obtain a geometric splitting of the bordism classes of these bundles into ge
ometrically simpler components. Furthermore, we determine a complete set
of characteristic numbers for the bordism ring of G-manifolds. Finally, we
generalize our results to a larger family of finite groups G.
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Extent |
1251013 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-04-27
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0067181
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2009-05
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International