A quantum Kirwan map : bubbling and Fredholm theory for symplectic vortices over the plane / / Fabian Ziltener
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| Autore: |
Ziltener Fabian <1977->
|
| Titolo: |
A quantum Kirwan map : bubbling and Fredholm theory for symplectic vortices over the plane / / Fabian Ziltener
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| ©2013 | |
| Descrizione fisica: | 1 online resource (142 p.) |
| Disciplina: | 516.36 |
| Soggetto topico: | Geometry, Differential |
| Gromov-Witten invariants | |
| Note generali: | "Volume 230, Number 1082 (fourth of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""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 vortices""""2.6. 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 inequality""""A.5. Smoothening a principal bundle""; ""A.6. Proof of the existence of a right inverse for _{ }*""; ""A.7. Further auxiliary results""; ""Bibliography"" | |
| Titolo autorizzato: | A quantum Kirwan map |
| ISBN: | 1-4704-1672-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910787194603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 230, Number 1082.