uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Geometry of Contact Toric Manifolds in 3D
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2016 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In this project we present some applications of symplectic and contact geometry on 3-manifolds. In the first section we introduce the notion of symplectic manifolds and various geometrical objects associated with them, such as the moment map and the Delzant polytope. We also investigate symplectic cuts which are used to create new manifolds from given symplectic manifolds. In the second section we review all the basic definitions that arise from contact geometry such as the contact structure, the contact form and the Reeb vector. Several examples are also used in order to clarify these definitions. In the final section we apply the aforementioned notions to the specific case of Lens spaces, which are 3-manifolds. We also propose a possible application on 5-manifolds which would further expand what was discussed here. 

Place, publisher, year, edition, pages
2016. , 41 p.
Series
FYSAST, FYSMAS1040
Keyword [en]
Symplectic Geometry, Contact Geometry, Lens spaces
National Category
Natural Sciences Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-296221OAI: oai:DiVA.org:uu-296221DiVA: diva2:936815
Educational program
Master Programme in Physics
Supervisors
Examiners
Available from: 2016-06-17 Created: 2016-06-14 Last updated: 2016-06-17Bibliographically approved

Open Access in DiVA

Geometry of Contact Toric Manifolds in 3D(677 kB)209 downloads
File information
File name FULLTEXT01.pdfFile size 677 kBChecksum SHA-512
b8d8654b9328ca7a24afb631e3a36af6bd68bdfbbe37cf23adec4a55e98a87aedf46e307efa6feb580fbf0e31539136aa203621f11c14e8944d5cb8908bd88f2
Type fulltextMimetype application/pdf

By organisation
Theoretical Physics
Natural SciencesPhysical Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 209 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 531 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf