The Topology of Surface Bundles: Cohomology and Enumerations of Fiberings /

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Bibliographic Details
Author / Creator:	Salter, Nicholas, author.
Imprint:	2017. Ann Arbor : ProQuest Dissertations & Theses, 2017
Description:	1 electronic resource (91 pages)
Language:	English
Format:	E-Resource Dissertations
Local Note:	School code: 0330
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11715046

Hidden Bibliographic Details
Other authors / contributors:	University of Chicago. degree granting institution.
ISBN:	9780355077834
Notes:	Advisors: Benson Farb Committee members: Danny Calegari. Dissertation Abstracts International, Volume: 78-12(E), Section: B. English
Summary:	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.

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