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Monopoles and three-manifolds:

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Bibliographische Detailangaben
Beteiligte Personen:	Kronheimer, Peter B. (VerfasserIn), Mrowka, Tomasz (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Cambridge Cambridge Univ. Press 2007
Ausgabe:	1. publ.
Schriftenreihe:	New mathematical monographs 10
Schlagwörter:	Homology theory Moduli theory Seiberg-Witten invariants Three-manifolds (Topology) Dimension 3 Mannigfaltigkeit Algebraische Topologie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016029680&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Hier auch später erschienene, unveränderte Nachdrucke
ISBN:	9780521880220 9780521184762

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Preface page xi I Outlines 1 1 Monopole invariants of four-manifolds 2 2 Morse theory 14 3 Monopole Floer homology for three-manifolds 49 Notes and references for Chapter 1 82 II The Seiberg- Witten equations and compactness 84 4 Basic terms 85 5 Compactness and properness 99 6 The blown-up configuration space 112 7 Unique continuation 120 8 Compactness in the blown-up configuration space 130 Notes and references for Chapter II 132 III Hubert manifolds and perturbations 134 9 Completions and Hubert manifolds 134 10 Abstract perturbations 152 11 Constructing tame perturbations 171 Notes and references for Chapter HI 194 IV Moduli spaces and transversality 195 12 Transversality for the three-dimensional equations 196 13 Moduli spaces of trajectories 217 14 Local structure of moduli spaces 239 15 Transversality for moduli spaces of trajectories 265 Notes and references for Chapter IV 272 viii Contents V Compactness and gluing 274 16 Compactness of trajectory spaces 275 17 The moduli space on a finite cylinder 294 18 Stable manifolds and gluing near critical points 317 19 Gluing trajectories 343 Notes and references for Chapter V 374 VI Floer homology 375 20 Orienting moduli spaces 375 21 . A version of Stokes theorem 405 22 Floer homology 410 Notes and references for Chapter VI 448 VII Cobordisms and invariance 449 23 Summary of results 449 24 The moduli space on a manifold with boundary 461 25 Maps from cobordisms 508 26 Composing cobordisms 535 27 Closed four-manifolds 551 28 Canonical gradings 581 Notes and references for Chapter VII 589 VIII Non-exact perturbations 590 29 Closed two-forms as perturbations 590 30 Floer groups and non-exact perturbations 597 31 Some isomorphisms 605 32 Applications to gluing 622 Notes and references for Chapter VIII 633 IX Calculations 634 33 Coupled Morse theory 634 34 Calculation of coupled homology 658 35 Application to the Floer groups HM 678 36 The manifold 51 xS2 695 37 The three-torus 699 38 Elliptic surfaces 711 Notes and references for Chapter IX 719 Contents ix X Further developments 721 39 Homology spheres and negative-definite cobordisms 722 40 Genus bounds and scalar curvature 733 41 Foliations and non-vanishing theorems 741 42 Surgery and exact triangles 757 Notes and references for Chapter X 778 References 779 Glossary of notation 785 Index 792
any_adam_object	1
author	Kronheimer, Peter B. Mrowka, Tomasz
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id	DE-604.BV022824373
illustrated	Not Illustrated
indexdate	2024-12-20T13:04:41Z
institution	BVB
isbn	9780521880220 9780521184762
language	English
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publishDate	2007
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publisher	Cambridge Univ. Press
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series	New mathematical monographs
series2	New mathematical monographs
spellingShingle	Kronheimer, Peter B. Mrowka, Tomasz Monopoles and three-manifolds New mathematical monographs Homology theory Moduli theory Seiberg-Witten invariants Three-manifolds (Topology) Dimension 3 (DE-588)4321722-9 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Algebraische Topologie (DE-588)4120861-4 gnd
subject_GND	(DE-588)4321722-9 (DE-588)4037379-4 (DE-588)4120861-4
title	Monopoles and three-manifolds
title_auth	Monopoles and three-manifolds
title_exact_search	Monopoles and three-manifolds
title_full	Monopoles and three-manifolds Peter Kronheimer ; Tomasz Mrowka
title_fullStr	Monopoles and three-manifolds Peter Kronheimer ; Tomasz Mrowka
title_full_unstemmed	Monopoles and three-manifolds Peter Kronheimer ; Tomasz Mrowka
title_short	Monopoles and three-manifolds
title_sort	monopoles and three manifolds
topic	Homology theory Moduli theory Seiberg-Witten invariants Three-manifolds (Topology) Dimension 3 (DE-588)4321722-9 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Algebraische Topologie (DE-588)4120861-4 gnd
topic_facet	Homology theory Moduli theory Seiberg-Witten invariants Three-manifolds (Topology) Dimension 3 Mannigfaltigkeit Algebraische Topologie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016029680&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV035420183
work_keys_str_mv	AT kronheimerpeterb monopolesandthreemanifolds AT mrowkatomasz monopolesandthreemanifolds

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