The Topology of Surface Bundles: Cohomology and Enumerations of Fiberings /
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Author / Creator: | Salter, Nicholas, author. |
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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 |
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100 | 1 | |a Salter, Nicholas, |e author. |0 http://id.loc.gov/authorities/names/no2020116006 |1 http://viaf.org/viaf/7160242702952430811 | |
245 | 1 | 4 | |a The Topology of Surface Bundles: Cohomology and Enumerations of Fiberings / |c Nicholas Salter. |
260 | |c 2017. | ||
264 | 1 | |a Ann Arbor : |b ProQuest Dissertations & Theses, |c 2017 | |
300 | |a 1 electronic resource (91 pages) | ||
336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
500 | |a Advisors: Benson Farb Committee members: Danny Calegari. | ||
502 | |b Ph.D. |c University of Chicago, Division of the Physical Sciences, Department of Mathematics |d 2017. | ||
510 | 4 | |a Dissertation Abstracts International, |c Volume: 78-12(E), Section: B. | |
520 | |a 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. | ||
546 | |a English | ||
590 | |a School code: 0330 | ||
690 | |a Mathematics. | ||
710 | 2 | |a University of Chicago. |e degree granting institution. |0 http://id.loc.gov/authorities/names/n79058404 |1 http://viaf.org/viaf/143657677 | |
720 | 1 | |a Benson Farb |e degree supervisor. | |
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