Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2008
|
| Series: | Memoirs of the American Mathematical Society
904 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "May 2008, volume 193, number 904 (fourth of 5 numbers)." Includes bibliographical references |
| Physical Description: | VII, 69 S. |
| ISBN: | 9780821841365 |
Staff View
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Record in the Search Index
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| adam_text | OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 904 SUB GOTTINGEN 7 219 675
325 LOOZ 6 6 RANK ONE HIGGS BUNDLES AND REPRESENTATIONS OF
FUNDAMENTAL GROUPS OF RIEMANN SURFACES WILLIAM M. GOLDMAN EUGENE Z. XIA
CSBRO MAY 2008 * VOLUME 193 * NUMBER 904 (FOURTH OF 5 NUMBERS) * ISSN
0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND
CONTENTS INTRODUCTION 1 1. EQUIVALENCES OF DEFORMATION THEORIES 4 2. THE
BETTI AND DE RHAM DEFORMATION THEORIES AND THEIR MODULI SPACES 5 2.1.
THE BETTI GROUPOID 6 2.2. THE DE RHAM GROUPOID 8 2.3. EQUIVALENCE OF DE
RHAM AND BETTI GROUPOIDS 14 3. THE DOLBEAULT GROUPOID 17 3.1.
HOLOMORPHIC LINE BUNDLES 17 3.2. THE MODULI SPACES 21 3.3. GEOMETRIC
STRUCTURE OF THE DOLBEAULT MODULI SPACE 23 4. EQUIVALENCE OF DE RHAM AND
DOLBEAULT GROUPOIDS 25 4.1. CONSTRUCTION OF THE EQUIVALENCE 25 4.2.
HIGGS COORDINATES 33 4.3. INVOLUTIONS 36 5. HYPERKAHLER GEOMETRY ON THE
MODULI SPACE 37 5.1. THE QUATERNIONIC STRUCTURE 37 5.2. THE RIEMANNIAN
METRIC 39 5.3. COMPLEX-SYMPLECTIC STRUCTURE 40 5.4. QUATERNIONIZATION 42
6. THE TWISTOR SPACE 43 6.1. THE COMPLEX PROJECTIVE LINE 43 6.2. THE
TWISTOR SPACE AS A SMOOTH VECTOR BUNDLE 48 6.3. A HOLOMORPHIC ATLAS FOR
THE TWISTOR SPACE 49 6.4. THE TWISTOR LINES 51 6.5. THE REAL STRUCTURE
ON THE TWISTOR SPACE 52 6.6. SYMPLECTIC GEOMETRY OF THE TWISTOR SPACE 53
6.7. THE LATTICE QUOTIENT 55 6.8. FUNCTIONS AND FLOWS 56 VI CONTENTS 7.
THE MODULI SPACE AND THE RIEMANN PERIOD MATRIX 59 7.1. COORDINATES FOR
THE BETTI MODULI SPACE 59 7.2. ABELIAN DIFFERENTIALS AND THEIR PERIODS
60 7.3. FLAT CONNECTIONS 62 7.4. HIGGS FIELDS 64 7.5. THE C*-ACTION IN
TERMS OF THE PERIOD MATRIX 65 7.6. THE C*-ACTION AND THE REAL POINTS 65
BIBLIOGRAPHY 67
|
| adam_txt |
OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 904 SUB GOTTINGEN 7 219 675
325 \ LOOZ 6 6 RANK ONE HIGGS BUNDLES AND REPRESENTATIONS OF
FUNDAMENTAL GROUPS OF RIEMANN SURFACES WILLIAM M. GOLDMAN EUGENE Z. XIA
"CSBRO MAY 2008 * VOLUME 193 * NUMBER 904 (FOURTH OF 5 NUMBERS) * ISSN
0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND
CONTENTS INTRODUCTION 1 1. EQUIVALENCES OF DEFORMATION THEORIES 4 2. THE
BETTI AND DE RHAM DEFORMATION THEORIES AND THEIR MODULI SPACES 5 2.1.
THE BETTI GROUPOID 6 2.2. THE DE RHAM GROUPOID 8 2.3. EQUIVALENCE OF DE
RHAM AND BETTI GROUPOIDS 14 3. THE DOLBEAULT GROUPOID 17 3.1.
HOLOMORPHIC LINE BUNDLES 17 3.2. THE MODULI SPACES 21 3.3. GEOMETRIC
STRUCTURE OF THE DOLBEAULT MODULI SPACE 23 4. EQUIVALENCE OF DE RHAM AND
DOLBEAULT GROUPOIDS 25 4.1. CONSTRUCTION OF THE EQUIVALENCE 25 4.2.
HIGGS COORDINATES 33 4.3. INVOLUTIONS 36 5. HYPERKAHLER GEOMETRY ON THE
MODULI SPACE 37 5.1. THE QUATERNIONIC STRUCTURE 37 5.2. THE RIEMANNIAN
METRIC 39 5.3. COMPLEX-SYMPLECTIC STRUCTURE 40 5.4. QUATERNIONIZATION 42
6. THE TWISTOR SPACE 43 6.1. THE COMPLEX PROJECTIVE LINE 43 6.2. THE
TWISTOR SPACE AS A SMOOTH VECTOR BUNDLE 48 6.3. A HOLOMORPHIC ATLAS FOR
THE TWISTOR SPACE 49 6.4. THE TWISTOR LINES 51 6.5. THE REAL STRUCTURE
ON THE TWISTOR SPACE 52 6.6. SYMPLECTIC GEOMETRY OF THE TWISTOR SPACE 53
6.7. THE LATTICE QUOTIENT 55 6.8. FUNCTIONS AND FLOWS 56 VI CONTENTS 7.
THE MODULI SPACE AND THE RIEMANN PERIOD MATRIX 59 7.1. COORDINATES FOR
THE BETTI MODULI SPACE 59 7.2. ABELIAN DIFFERENTIALS AND THEIR PERIODS
60 7.3. FLAT CONNECTIONS 62 7.4. HIGGS FIELDS 64 7.5. THE C*-ACTION IN
TERMS OF THE PERIOD MATRIX 65 7.6. THE C*-ACTION AND THE REAL POINTS 65
BIBLIOGRAPHY 67 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T20:41:59Z |
| indexdate | 2024-07-09T21:15:00Z |
| institution | BVB |
| isbn | 9780821841365 |
| language | English |
| lccn | 2008060005 |
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| physical | VII, 69 S. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Goldman, William M. 1955- Verfasser (DE-588)1089595271 aut Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces William M. Goldman ; Eugene Z. Xia Providence, R.I. American Mathematical Society 2008 VII, 69 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 904 "May 2008, volume 193, number 904 (fourth of 5 numbers)." Includes bibliographical references Surfaces, Deformation of Riemann surfaces Geometry, Differential Geometry, Algebraic Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 s DE-604 Zhu Xia, Eugene Sonstige oth Memoirs of the American Mathematical Society 904 (DE-604)BV008000141 904 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016471787&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goldman, William M. 1955- Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces Memoirs of the American Mathematical Society Surfaces, Deformation of Riemann surfaces Geometry, Differential Geometry, Algebraic Riemannsche Fläche (DE-588)4049991-1 gnd |
| subject_GND | (DE-588)4049991-1 |
| title | Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces |
| title_auth | Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces |
| title_exact_search | Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces |
| title_exact_search_txtP | Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces |
| title_full | Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces William M. Goldman ; Eugene Z. Xia |
| title_fullStr | Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces William M. Goldman ; Eugene Z. Xia |
| title_full_unstemmed | Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces William M. Goldman ; Eugene Z. Xia |
| title_short | Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces |
| title_sort | rank one higgs bundles and representations of fundamental groups of riemann surfaces |
| topic | Surfaces, Deformation of Riemann surfaces Geometry, Differential Geometry, Algebraic Riemannsche Fläche (DE-588)4049991-1 gnd |
| topic_facet | Surfaces, Deformation of Riemann surfaces Geometry, Differential Geometry, Algebraic Riemannsche Fläche |
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