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Title: Aspects of the topology of foliations on 3-manifolds
Authors: Zung, Jonathan
Advisors: Ozsvath, Peter
Contributors: Mathematics Department
Subjects: Mathematics
Issue Date: 2022
Publisher: Princeton, NJ : Princeton University
Abstract: In this thesis, we explore two aspects of the topology of codimension 1 foliations on 3-manifolds. In the first part, we study branching in their leaf spaces. We show that for a large class of foliations, the leaf space admits a map to \R such that the action of the fundamental group on the leaf space descends to a Homeo^+(\R) representation. In the second part, we study the holonomy of foliations. We give a new approach to the Eliashberg-Thurston perturbation of foliations into contact structures. Our approach gives control on the Reeb flow of the resulting contact structure, and in particular produces hypertight contact structures.
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog:
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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