Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz
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| Autore: |
García-Prada O (Oscar), <1960->
|
| Titolo: |
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| ©2007 | |
| Descrizione fisica: | 1 online resource (96 p.) |
| Disciplina: | 514/.224 |
| Soggetto topico: | Vector bundles |
| Moduli theory | |
| Persona (resp. second.): | GothenP. B <1967-> (Peter Beier) |
| MuñozV <1971-> (Vicente) | |
| Note generali: | "Volume 187, Number 879 (end of volume)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Parabolic Higgs bundles""; ""1. Definitions and basic facts""; ""2. Deformation theory""; ""3. Parabolic Higgs bundles and gauge theory""; ""Chapter 3. Morse theory on the moduli space""; ""1. The Morse function""; ""2. Fixed points of the S[sup(1)] action on the moduli space""; ""3. Morse indices""; ""4. Rank three parabolic Higgs bundles""; ""5. Laumon's Theorem for parabolic Higgs bundles""; ""Chapter 4. Parabolic triples""; ""1. Definitions and basic facts""; ""2. Parabolic Higgs bundles and parabolic triples"" |
| ""3. Extensions and deformations of parabolic triples""""Chapter 5. Critical values and flips""; ""1. Critical values""; ""2. Crossing critical values and universal extensions""; ""3. Flips""; ""Chapter 6. Parabolic triples with r[sub(1)] = 2 and r[sub(2)] = 1""; ""1. Flips""; ""2. Poincare polynomial of moduli of triples""; ""Chapter 7. Critical submanifolds of type (1,1,1)""; ""1. Description of the critical submanifolds""; ""2. The sum for fixed Ï?""; ""3. The sum over Ï?""; ""Chapter 8. Critical submanifolds of type (1,2)""; ""1. Description of the critical submanifolds"" | |
| ""2. Morse indices""""3. Critical submanifolds of type (1,1,1)""; ""4. Parabolic triples of fixed determinant""; ""5. Critical submanifolds of type (1,2) and (2,1)""; ""6. Critical submanifolds of type (3)""; ""7. Betti numbers of the fixed determinant moduli space""; ""Bibliography"" | |
| Titolo autorizzato: | Betti numbers of the moduli space of rank 3 parabolic Higgs bundles |
| ISBN: | 1-4704-0483-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788744203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 187, Number 879.