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A quantum Kirwan map : bubbling and Fredholm theory for symplectic vortices over the plane /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2013.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 230, no. 1082. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Contents
- Chapter 1. Motivation and main results
- 1.1. Quantum deformations of the Kirwan map
- 1.2. Symplectic vortices, idea of the proof of existence of a quantum Kirwan map
- 1.3. Bubbling for vortices over the plane
- 1.4. Fredholm theory for vortices over the plane
- 1.5. Remarks, related work, organization, and acknowledgments
- Chapter 2. Bubbling for vortices over the plane
- 2.1. Stable maps
- 2.2. Convergence to a stable map
- 2.3. An example: the Ginzburg-Landau setting
- 2.4. The action of the reparametrization group
- 2.5. Compactness modulo bubbling and gauge for rescaled vortices2.6. Soft rescaling
- 2.7. Proof of the bubbling result
- 2.8. Proof of the result in Section 2.3 characterizing convergence
- Chapter 3. Fredholm theory for vortices over the plane
- 3.1. Equivariant homology, the Chern number, and the Maslov index
- 3.2. Proof of the Fredholm result
- Appendix A. Auxiliary results about vortices, weighted spaces, and other topics
- A.1. Auxiliary results about vortices
- A.2. The invariant symplectic action
- A.3. Proofs of the results of Section 3.1
- A.4. Weighted Sobolev spaces and a Hardy-type inequalityA.5. Smoothening a principal bundle
- A.6. Proof of the existence of a right inverse for _{ }*
- A.7. Further auxiliary results
- Bibliography