Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces / / William M. Goldman, Eugene Z. Xia
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| Autore: |
Goldman William Mark
|
| Titolo: |
Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces / / William M. Goldman, Eugene Z. Xia
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| ©2008 | |
| Descrizione fisica: | 1 online resource (86 p.) |
| Disciplina: | 516.3/6 |
| Soggetto topico: | Surfaces, Deformation of |
| Riemann surfaces | |
| Geometry, Differential | |
| Geometry, Algebraic | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | XiaEugene Zhu <1963-> |
| Note generali: | "May 2008, volume 193, number 904 (fourth of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references (pages 67-69). |
| Nota di contenuto: | ""Contents""; ""Introduction""; ""1. Equivalences of deformation theories""; ""2. The Betti and de Rham deformation theories and their moduli spaces""; ""2.1. The Betti groupoid""; ""2.2. The de Rham groupoid""; ""2.3. Equivalence of de Rham and Betti groupoids""; ""3. The Dolbeault groupoid""; ""3.1. Holomorphic line bundles""; ""3.2. The moduli spaces""; ""3.3. Geometric structure of the Dolbeault moduli space""; ""4. Equivalence of de Rham and Dolbeault groupoids""; ""4.1. Construction of the equivalence""; ""4.2. Higgs coordinates""; ""4.3. Involutions"" |
| ""5. Hyperkahler geometry on the moduli space""""5.1. The quaternionic structure""; ""5.2. The Riemannian metric""; ""5.3. Complex-symplectic structure""; ""5.4. Quaternionization""; ""6. The twistor space""; ""6.1. The complex projective line""; ""6.2. The twistor space as a smooth vector bundle""; ""6.3. A holomorphic atlas for the twistor space""; ""6.4. The twistor lines""; ""6.5. The real structure on the twistor space""; ""6.6. Symplectic geometry of the twistor space""; ""6.7. The lattice quotient""; ""6.8. Functions and flows""; ""7. The moduli space and the Riemann period matrix"" | |
| ""7.1. Coordinates for the Betti moduli space""""7.2. Abelian differentials and their periods""; ""7.3. Flat connections""; ""7.4. Higgs fields""; ""7.5. The C*-action in terms of the period matrix""; ""7.6. The C*-action and the real points""; ""Bibliography"" | |
| Titolo autorizzato: | Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces |
| ISBN: | 1-4704-0510-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480624203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 904.