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UNINA9910788744203321 |
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Autore |
García-Prada O (Oscar), <1960-> |
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Titolo |
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2007 |
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©2007 |
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ISBN |
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Descrizione fisica |
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1 online resource (96 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 187, Number 879 |
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Disciplina |
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Soggetti |
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Vector bundles |
Moduli theory |
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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 187, Number 879 (end of volume)." |
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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. 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 |
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numbers of the fixed determinant moduli space""; ""Bibliography"" |
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