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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-> Visualizza persona
Titolo: Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz Visualizza cluster
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  Visualizza cluster
ISBN: 1-4704-0483-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910811733403321
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Serie: Memoirs of the American Mathematical Society ; ; Volume 187, Number 879.