Verfügbarkeit: An invitation to quantum cohomology | Technische Universität München

An invitation to quantum cohomology: Kontsevich's formula for rational plane curves

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Bibliographische Detailangaben
Beteiligte Personen:	Kock, Joachim (VerfasserIn), Vainsencher, Israel (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Boston ; Basel ; Berlin Birkhäuser 2007
Schriftenreihe:	Progress in mathematics 249
Schlagwörter:	Courbes planes Curvas planas Geometria algébrica Géométrie énumérative Homologie Quantumcohomologie Teoria homológica Théorie quantique Quantentheorie Curves, Plane Geometry, Enumerative Homology theory Quantum theory Quantenkohomologie
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=2682757&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015461604&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 149 - 155
Umfang:	XII, 159 S. graph. Darst. 25 cm
ISBN:	9780817644567 0817644563 0817644954

Internformat

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Datensatz im Suchindex

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adam_text	Contents Preface vii Introduction 1 0 Prologue: Warming up with Cross Ratios, and the Definition of Moduli Space 5 0.1 Cross ratios 5 0.2 Definition of moduli space 11 1 Stable n pointed Curves 21 1.1 ^ pointed smooth rational curves 21 1.2 Stable n pointed rational curves 23 1.3 Stabilization, forgetting marks, contraction 28 1.4 Sketch of the construction of Mo,« 32 1.5 The boundary 34 1.6 Generalizations and references 39 2 Stable Maps 47 2.1 Maps P1 * Fr 47 2.2 1 parameter families 54 2.3 Kontsevich stable maps 58 2.4 Idea of the construction of Afo,n(Pr, d) 60 2.5 Evaluation maps 63 2.6 Forgetful maps 65 2.7 The boundary 69 2.8 Easy properties and examples 71 2.9 Complete conies 74 2.10 Generalizations and references 78 3 Enumerative Geometry via Stable Maps 91 3.1 Classical enumerative geometry 91 3.2 Counting conies and rational cubics via stable maps 95 xii Contents 3.3 Kontsevich s formula 99 3.4 Transversality and enumerative significance 100 3.5 Stable maps versus rational curves 102 3.6 Generalizations and references 106 4 Gromov Witten Invariants 111 4.1 Definition and enumerative interpretation Ill 4.2 Properties of Gromov Witten invariants 115 4.3 Recursion 117 4.4 The reconstruction theorem 120 4.5 Generalizations and references 123 5 Quantum Cohomology 129 5.1 Quick primer on generating functions 129 5.2 The Gromov Witten potential and the quantum product 132 5.3 Associativity 136 5.4 Kontsevich s formula via quantum cohomology 138 5.5 Generalizations and references 141 Bibliography 149 Index 157
any_adam_object	1
author	Kock, Joachim Vainsencher, Israel
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series2	Progress in mathematics
spellingShingle	Kock, Joachim Vainsencher, Israel An invitation to quantum cohomology Kontsevich's formula for rational plane curves Progress in mathematics Courbes planes Curvas planas larpcal Geometria algébrica larpcal Géométrie énumérative Homologie Quantumcohomologie gtt Teoria homológica larpcal Théorie quantique Quantentheorie Curves, Plane Geometry, Enumerative Homology theory Quantum theory Quantenkohomologie (DE-588)4684891-5 gnd
subject_GND	(DE-588)4684891-5
title	An invitation to quantum cohomology Kontsevich's formula for rational plane curves
title_auth	An invitation to quantum cohomology Kontsevich's formula for rational plane curves
title_exact_search	An invitation to quantum cohomology Kontsevich's formula for rational plane curves
title_full	An invitation to quantum cohomology Kontsevich's formula for rational plane curves Joachim Kock ; Israel Vainsencher
title_fullStr	An invitation to quantum cohomology Kontsevich's formula for rational plane curves Joachim Kock ; Israel Vainsencher
title_full_unstemmed	An invitation to quantum cohomology Kontsevich's formula for rational plane curves Joachim Kock ; Israel Vainsencher
title_short	An invitation to quantum cohomology
title_sort	an invitation to quantum cohomology kontsevich s formula for rational plane curves
title_sub	Kontsevich's formula for rational plane curves
topic	Courbes planes Curvas planas larpcal Geometria algébrica larpcal Géométrie énumérative Homologie Quantumcohomologie gtt Teoria homológica larpcal Théorie quantique Quantentheorie Curves, Plane Geometry, Enumerative Homology theory Quantum theory Quantenkohomologie (DE-588)4684891-5 gnd
topic_facet	Courbes planes Curvas planas Geometria algébrica Géométrie énumérative Homologie Quantumcohomologie Teoria homológica Théorie quantique Quantentheorie Curves, Plane Geometry, Enumerative Homology theory Quantum theory Quantenkohomologie
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volume_link	(DE-604)BV000004120
work_keys_str_mv	AT kockjoachim aninvitationtoquantumcohomologykontsevichsformulaforrationalplanecurves AT vainsencherisrael aninvitationtoquantumcohomologykontsevichsformulaforrationalplanecurves

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