Symplectic manifolds with no Kähler structure:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | German |
Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
Schriftenreihe: | Lecture notes in mathematics
1661 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VIII, 207 S. |
ISBN: | 3540631054 |
Internformat
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100 | 1 | |a Tralle, Aleksy |e Verfasser |4 aut | |
245 | 1 | 0 | |a Symplectic manifolds with no Kähler structure |c Aleksy Tralle ; John Oprea |
264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
300 | |a VIII, 207 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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490 | 1 | |a Lecture notes in mathematics |v 1661 | |
650 | 7 | |a Espaces homogènes |2 ram | |
650 | 4 | |a Homotopie | |
650 | 7 | |a Homotopie variéte kählerrienne |2 Jussieu | |
650 | 7 | |a Homotopie |2 gtt | |
650 | 7 | |a Homotopie |2 ram | |
650 | 7 | |a Nilvariéte |2 Jussieu | |
650 | 7 | |a Symplectische ruimten |2 gtt | |
650 | 7 | |a Théorie homotopie Dolbeault |2 Jussieu | |
650 | 7 | |a Variedades (geometria) |2 larpcal | |
650 | 7 | |a Variéte résoluble |2 Jussieu | |
650 | 7 | |a Variéte symplectique kählerrienne |2 Jussieu | |
650 | 4 | |a Variétés symplectiques | |
650 | 7 | |a Variétés symplectiques |2 ram | |
650 | 4 | |a Homotopy theory | |
650 | 4 | |a Symplectic manifolds | |
650 | 0 | 7 | |a Kähler-Mannigfaltigkeit |0 (DE-588)4162978-4 |2 gnd |9 rswk-swf |
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700 | 1 | |a Oprea, John |e Verfasser |4 aut | |
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Datensatz im Suchindex
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adam_text | ALEKSY TRALLE JOHN OPREA
SYMPLECTIC MANIFOLDS
WITH NO KAHL6R STRUCTURE
SPRINGER
CONSENTS
INTRODUCTION VI
CHAPTER 1. THE STARTING POINT: HOMOTOPY PROPERTIES OF KAHLER
MANIFOLDS
1.1 DIFFERENTIAL GRADED ALGEBRAS AND MINIMAL MODELS
1.2 DGA-HOMOTOPY AND INVARIANCE OF MINIMAL MODELS
1.3 FORMALITY AND KAHLER MANIFOLDS
1.4 RATIONAL HOMOTOPY OF FIBRATIONS
1.5 AN ILLUSTRATIVE GEOMETRIC EXAMPLE
1.6 HIGHER ORDER MASSEY PRODUCTS
CHAPTER 2. NILMANIFOLDS
2.1 NILMANIFOLDS
2.2 THE BENSON-GORDON-HASEGAWA THEOREM
2.3 SYMPLECTIC STRUCTURES ON NILMANIFOLDS AND RELATED MISCELLANY
CHAPTER 3. SOLVMANIFOLDS
3.1 SOLVMANIFOLDS AND THEIR MOSTOW BUNDLES
3.2 COHOMOLOGY OF SOLVMANIFOLDS: HATTORI S THEOREM
3.3 RATIONAL MODELS OF SOLVMANIFOLDS WITH KAHLER STRUCTURES
3.4 THE BENSON-GORDON CONJECTURE
3.5 HIGHER DIMENSIONAL EXAMPLES AND TWISTED TENSOR PRODUCTS
CHAPTER 4. THE EXAMPLES OF MCDUFF
4.1 CLASSICAL BLOW-UPS
4.2 THE SYMPLECTIC BLOW-UP
4.3 THE MAIN RESULT
4.4 REMARKS
VIII CONTENTS
CHAPTER 5. SYMPLECTIC STRUCTURES IN TOTAL SPACES OF BUNDLES 137
5.1 PRELIMINARIES ON HOMOGENEOUS SPACES 137
5.2 COMPACT HOMOGENEOUS SYMPLECTIC MANIFOLDS 141
5.3 THE WEINSTEIN PROBLEM FOR FIBER BUNDLES 146
5.4 KOSZUL COMPLEXES AND MINIMAL MODELS OF HOMOGENEOUS SPACES 151
5.5 SYMPLECTIC FAT BUNDLES AND THE FORMALIZING TENDENCY
OF SYMPLECTIC STRUCTURES 161
CHAPTER 6. SURVEY 173
6.1 BRYLINSKI S CONJECTURE AND CONJECTURAL SYMPLECTIC INVARIANTS 173
6.2 APPLICATIONS TO THE ORIGINAL ARNOL D CONJECTURE 181
6.3 DOLBEAULT HOMOTOPY THEORY 189
6.4 MISCELLANEOUS EXAMPLES 193
6.5 DISCUSSION OF PROBLEMS AND CONJECTURES 198
REFERENCES 200
INDEX 206
|
any_adam_object | 1 |
author | Tralle, Aleksy Oprea, John |
author_facet | Tralle, Aleksy Oprea, John |
author_role | aut aut |
author_sort | Tralle, Aleksy |
author_variant | a t at j o jo |
building | Verbundindex |
bvnumber | BV011385931 |
callnumber-first | Q - Science |
callnumber-label | QA3 |
callnumber-raw | QA3 |
callnumber-search | QA3 |
callnumber-sort | QA 13 |
callnumber-subject | QA - Mathematics |
classification_rvk | SI 850 SK 350 |
classification_tum | MAT 322f MAT 537f |
ctrlnum | (OCoLC)36900935 (DE-599)BVBBV011385931 |
dewey-full | 510 516.3/62 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics 516 - Geometry |
dewey-raw | 510 516.3/62 |
dewey-search | 510 516.3/62 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV011385931 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T18:08:52Z |
institution | BVB |
isbn | 3540631054 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007652696 |
oclc_num | 36900935 |
open_access_boolean | |
owner | DE-91G DE-BY-TUM DE-20 DE-739 DE-824 DE-384 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-83 DE-11 DE-188 |
owner_facet | DE-91G DE-BY-TUM DE-20 DE-739 DE-824 DE-384 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-83 DE-11 DE-188 |
physical | VIII, 207 S. |
publishDate | 1997 |
publishDateSearch | 1997 |
publishDateSort | 1997 |
publisher | Springer |
record_format | marc |
series | Lecture notes in mathematics |
series2 | Lecture notes in mathematics |
spelling | Tralle, Aleksy Verfasser aut Symplectic manifolds with no Kähler structure Aleksy Tralle ; John Oprea Berlin [u.a.] Springer 1997 VIII, 207 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1661 Espaces homogènes ram Homotopie Homotopie variéte kählerrienne Jussieu Homotopie gtt Homotopie ram Nilvariéte Jussieu Symplectische ruimten gtt Théorie homotopie Dolbeault Jussieu Variedades (geometria) larpcal Variéte résoluble Jussieu Variéte symplectique kählerrienne Jussieu Variétés symplectiques Variétés symplectiques ram Homotopy theory Symplectic manifolds Kähler-Mannigfaltigkeit (DE-588)4162978-4 gnd rswk-swf Rationale Homotopietheorie (DE-588)4177003-1 gnd rswk-swf Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd rswk-swf Kähler-Mannigfaltigkeit (DE-588)4162978-4 s DE-604 Symplektische Mannigfaltigkeit (DE-588)4290704-4 s Rationale Homotopietheorie (DE-588)4177003-1 s Oprea, John Verfasser aut Lecture notes in mathematics 1661 (DE-604)BV000676446 1661 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007652696&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Tralle, Aleksy Oprea, John Symplectic manifolds with no Kähler structure Lecture notes in mathematics Espaces homogènes ram Homotopie Homotopie variéte kählerrienne Jussieu Homotopie gtt Homotopie ram Nilvariéte Jussieu Symplectische ruimten gtt Théorie homotopie Dolbeault Jussieu Variedades (geometria) larpcal Variéte résoluble Jussieu Variéte symplectique kählerrienne Jussieu Variétés symplectiques Variétés symplectiques ram Homotopy theory Symplectic manifolds Kähler-Mannigfaltigkeit (DE-588)4162978-4 gnd Rationale Homotopietheorie (DE-588)4177003-1 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd |
subject_GND | (DE-588)4162978-4 (DE-588)4177003-1 (DE-588)4290704-4 |
title | Symplectic manifolds with no Kähler structure |
title_auth | Symplectic manifolds with no Kähler structure |
title_exact_search | Symplectic manifolds with no Kähler structure |
title_full | Symplectic manifolds with no Kähler structure Aleksy Tralle ; John Oprea |
title_fullStr | Symplectic manifolds with no Kähler structure Aleksy Tralle ; John Oprea |
title_full_unstemmed | Symplectic manifolds with no Kähler structure Aleksy Tralle ; John Oprea |
title_short | Symplectic manifolds with no Kähler structure |
title_sort | symplectic manifolds with no kahler structure |
topic | Espaces homogènes ram Homotopie Homotopie variéte kählerrienne Jussieu Homotopie gtt Homotopie ram Nilvariéte Jussieu Symplectische ruimten gtt Théorie homotopie Dolbeault Jussieu Variedades (geometria) larpcal Variéte résoluble Jussieu Variéte symplectique kählerrienne Jussieu Variétés symplectiques Variétés symplectiques ram Homotopy theory Symplectic manifolds Kähler-Mannigfaltigkeit (DE-588)4162978-4 gnd Rationale Homotopietheorie (DE-588)4177003-1 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd |
topic_facet | Espaces homogènes Homotopie Homotopie variéte kählerrienne Nilvariéte Symplectische ruimten Théorie homotopie Dolbeault Variedades (geometria) Variéte résoluble Variéte symplectique kählerrienne Variétés symplectiques Homotopy theory Symplectic manifolds Kähler-Mannigfaltigkeit Rationale Homotopietheorie Symplektische Mannigfaltigkeit |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007652696&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000676446 |
work_keys_str_mv | AT trallealeksy symplecticmanifoldswithnokahlerstructure AT opreajohn symplecticmanifoldswithnokahlerstructure |