Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz
| Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz |
| Autore | García-Prada O (Oscar), <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (96 p.) |
| Disciplina | 514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vector bundles
Moduli theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0483-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910481047203321 |
García-Prada O (Oscar), <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz
| Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz |
| Autore | García-Prada O (Oscar), <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (96 p.) |
| Disciplina | 514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vector bundles
Moduli theory |
| ISBN | 1-4704-0483-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788744203321 |
García-Prada O (Oscar), <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz
| Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz |
| Autore | García-Prada O (Oscar), <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (96 p.) |
| Disciplina | 514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vector bundles
Moduli theory |
| ISBN | 1-4704-0483-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910811733403321 |
García-Prada O (Oscar), <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||