On the orderability up to conjugation of certain open contact manifolds
Abstract/Contents
- Abstract
- In this thesis, we define and study the orderability up to conjugation problem for groups of compactly supported contactomorphisms of certain open contact manifolds. In particular, we show that the groups of compactly supported contactomorphisms of certain subsets of odd-dimensional spheres are orderable up to conjugation. This class of manifolds has recently showed its importance in the flexible side of contact topology. Along the way, we prove non-squeezing-type results for prequantizations of hyperboloids in the product of an even-dimensional Euclidean space with a circle, which may be of independent interest. The main tool is an equivariant version of contact homology, adapted to subdomains of the product of an even-dimensional Euclidean space with a circle.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2019; ©2019 |
| Publication date | 2019; 2019 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | De Groote, Cédric |
|---|---|
| Degree supervisor | Eliashberg, Y, 1946- |
| Thesis advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Cohen, Ralph L, 1952- |
| Thesis advisor | Ionel, Eleny |
| Degree committee member | Cohen, Ralph L, 1952- |
| Degree committee member | Ionel, Eleny |
| Associated with | Stanford University, Department of Mathematics. |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Cédric De Groote. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2019. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2019 by Cedric De Groote
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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