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Record Nr. |
UNINA9910813835703321 |
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Autore |
Ziltener Fabian <1977-> |
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Titolo |
A quantum Kirwan map : bubbling and Fredholm theory for symplectic vortices over the plane / / Fabian Ziltener |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (142 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 230, Number 1082 |
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Disciplina |
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Soggetti |
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Geometry, Differential |
Gromov-Witten invariants |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 230, Number 1082 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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""; |
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