Symplectic structures with singularities
The main goal of the thesis is to classify some particular Poisson structures, called b-Poisson, following results of Guillemin-Miranda-Pirés and Radko. To understand these results, this thesis contains some chapters of introduction to Poisson Geometry and Symplectic Geometry. There is also a new re...
| Author: | |
|---|---|
| Format: | master thesis |
| Publication Date: | 2015 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/78811 |
| Online Access: | https://hdl.handle.net/2117/78811 |
| Access Level: | Open access |
| Keyword: | Symplectic geometry Geometry Poisson Symplectic B-manifold Singularities Geometria simplèctica Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria |
| Summary: | The main goal of the thesis is to classify some particular Poisson structures, called b-Poisson, following results of Guillemin-Miranda-Pirés and Radko. To understand these results, this thesis contains some chapters of introduction to Poisson Geometry and Symplectic Geometry. There is also a new result extending the classification of Poisson structures to the non-orientable case. Moreover it is explained a way to obtain local classification of some Poisson structures that can lead to more original results. |
|---|