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- W2775511704 abstract "This thesis undertakes a study of surface bundles, especially $4$-manifolds equipped with one or more surface bundle structures. A central theme is the interplay between the number of surface bundle structures on a manifold, the properties of the associated monodromy representations, and the algebro-topological invariants of the manifold. In Chapter 1, we show that any non-trivial surface bundle with monodromy in the Johnson kernel has a unique fibering. In Chapter 2, we provide the first examples of $4$-manifolds admitting $3$ or more surface bundle structures. In Chapter 3, we study how the cohomology algebra of a surface bundle can be computed from the monodromy representation, and relate this problem to the cohomology of the mapping class group and the Torelli subgroup." @default.
- W2775511704 created "2017-12-22" @default.
- W2775511704 creator A5025982224 @default.
- W2775511704 date "2017-01-01" @default.
- W2775511704 modified "2023-09-23" @default.
- W2775511704 title "The Topology of Surface Bundles: Cohomology and Enumerations of Fiberings" @default.
- W2775511704 doi "https://doi.org/10.6082/m1g44ncv" @default.
- W2775511704 hasPublicationYear "2017" @default.
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