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Abstracts Mathematics
Surface Bundles Over Low-Dimensional Manifolds
by Jonathan Alcaraz
| Institution: | University of California |
|---|---|
| Department: | |
| Degree: | |
| Year: | 2022 |
| Keywords: | Mathematics |
| Posted: | 3/25/2025 |
| Record ID: | 2289841 |
| Full text PDF: | https://escholarship.org/uc/item/2gc3d2jj |
Abstract
Surface bundles over circles and surfaces have been and continue to be well studied. The main focus of this thesis is manifolds which admit multiple surface bundle structures over low-dimensional manifolds. In [Sal15], Salter proved certain cohomological properties of 4-manifolds with multiple surface bundle structures over surfaces. In this thesis, we will analyze the extent to which analogous results are true in other dimensions as well as construct examples of spaces with multiple
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