Calabi-Yau manifolds and related geometries: lectures at a summer school in Nordfjordeid, Norway, June 2001
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2003
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 227 - 236 |
| Physical Description: | VIII, 239 S. graph. Darst. |
| ISBN: | 3540440593 9783540440598 |
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MARC
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| 245 | 1 | 0 | |a Calabi-Yau manifolds and related geometries |b lectures at a summer school in Nordfjordeid, Norway, June 2001 |c M. Gross ; D. Huybrechts ; D. Joyce |
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Record in the Search Index
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| adam_text | Contents
Preface
Part I. Riemannian Holonomy Groups and Calibrated Geometry
Dominic Joyce
1
Introduction
................................................. 3
2
Introduction to Holonomy Groups
.............................. 4
3
Berger s Classification of Holonomy Groups
..................... 10
4 Kahler
Geometry and Holonomy
............................... 14
5
The Calabi Conjecture
........................................ 20
6
The Exceptional Holonomy Groups
............................. 26
7
Introduction to Calibrated Geometry
........................... 31
8
Calibrated Submanifolds in
1 ................................ 36
9
Constructions of SL m-folds in Cm
............................. 41
10
Compact Calibrated Submanifolds
............................. 50
11
Singularities of Special Lagrangian m-folds
...................... 57
12
The SYZ Conjecture, and SL Fibrations
........................ 63
Part II. Calabi-Yau Manifolds and Mirror Symmetry
Mark Gross
13
Introduction
................................................. 71
14
The Classical Geometry of Calabi-Yau Manifolds
................ 72
15 Kahler
Moduli and Gromov-Witten Invariants
................... 93
16
Variation and Degeneration of Hodge Structures
.................102
17
A Mirror Conjecture
.........................................121
18
Mirror Symmetry in Practice
..................................122
19
The Strominger-Yau-Zaslow Approach to Mirror Symmetry
.......140
Part III. Compact
Hyperkähler
Manifolds
Daniel Huybrechts
20
Introduction
.................................................163
21
Holomorphic Symplectic Manifolds
.............................164
22
Deformations of Complex Structures
...........................172
23
The Beauvffle-Bogomolov Form
...............................177
24
Cohomology of Compact
Hyperkähler
Manifolds
.................190
25
Twister Space and Moduli Space
...............................196
26
Projectivity
of
Hyperkähler
Manifolds
..........................203
27 Birational Hyperkähler
Manifolds..............................
213
28 The (Birational) Kahler
Cone.................................
221
References
....................................................
22·7
Index
.........................................................237
|
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| genre_facet | Konferenzschrift 2001 Nordfjordeid |
| id | DE-604.BV014862155 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:08:04Z |
| institution | BVB |
| isbn | 3540440593 9783540440598 |
| language | English |
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| spelling | Calabi-Yau manifolds and related geometries lectures at a summer school in Nordfjordeid, Norway, June 2001 M. Gross ; D. Huybrechts ; D. Joyce Berlin [u.a.] Springer 2003 VIII, 239 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Literaturverz. S. 227 - 236 Calabi-Yau, Variétés de Physique mathématique Mathematische Physik Calabi-Yau manifolds Mathematical physics Symplektische Geometrie (DE-588)4194232-2 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2001 Nordfjordeid gnd-content Symplektische Geometrie (DE-588)4194232-2 s DE-604 Gross, Mark 1965- Sonstige (DE-588)124077846 oth Huybrechts, Daniel 1966- Sonstige (DE-588)113483716 oth Joyce, Dominic D. 1968- Sonstige (DE-588)1043994483 oth Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010049551&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Calabi-Yau manifolds and related geometries lectures at a summer school in Nordfjordeid, Norway, June 2001 Calabi-Yau, Variétés de Physique mathématique Mathematische Physik Calabi-Yau manifolds Mathematical physics Symplektische Geometrie (DE-588)4194232-2 gnd |
| subject_GND | (DE-588)4194232-2 (DE-588)1071861417 |
| title | Calabi-Yau manifolds and related geometries lectures at a summer school in Nordfjordeid, Norway, June 2001 |
| title_auth | Calabi-Yau manifolds and related geometries lectures at a summer school in Nordfjordeid, Norway, June 2001 |
| title_exact_search | Calabi-Yau manifolds and related geometries lectures at a summer school in Nordfjordeid, Norway, June 2001 |
| title_full | Calabi-Yau manifolds and related geometries lectures at a summer school in Nordfjordeid, Norway, June 2001 M. Gross ; D. Huybrechts ; D. Joyce |
| title_fullStr | Calabi-Yau manifolds and related geometries lectures at a summer school in Nordfjordeid, Norway, June 2001 M. Gross ; D. Huybrechts ; D. Joyce |
| title_full_unstemmed | Calabi-Yau manifolds and related geometries lectures at a summer school in Nordfjordeid, Norway, June 2001 M. Gross ; D. Huybrechts ; D. Joyce |
| title_short | Calabi-Yau manifolds and related geometries |
| title_sort | calabi yau manifolds and related geometries lectures at a summer school in nordfjordeid norway june 2001 |
| title_sub | lectures at a summer school in Nordfjordeid, Norway, June 2001 |
| topic | Calabi-Yau, Variétés de Physique mathématique Mathematische Physik Calabi-Yau manifolds Mathematical physics Symplektische Geometrie (DE-588)4194232-2 gnd |
| topic_facet | Calabi-Yau, Variétés de Physique mathématique Mathematische Physik Calabi-Yau manifolds Mathematical physics Symplektische Geometrie Konferenzschrift 2001 Nordfjordeid |
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