Holdings: Morse theory and Floer homology

Morse theory and Floer homology:

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Bibliographic Details
Main Authors:	Audin, Michèle 1954- (Author), Damian, Mihai (Author)
Other Authors:	Erné, Reinie (Translator)
Format:	Electronic eBook
Language:	English
Published:	London Springer [2014]
Series:	Universitext
Subjects:	Morse-Theorie Homologietheorie Homologie Lehrbuch
Online Access:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (xiv, 596 Seiten) Illustrationen, Diagramme
ISBN:	9781447154969
DOI:	10.1007/978-1-4471-5496-9

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MARC


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Record in the Search Index

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adam_text	MORSE THEORY AND FLOER HOMOLOGY / AUDIN, MICHELE : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION TO PART I MORSE FUNCTIONS PSEUDO-GRADIENTS THE MORSE COMPLEX MORSE HOMOLOGY, APPLICATIONS INTRODUCTION TO PART II WHAT YOU NEED TO KNOW ABOUT SYMPLECTIC GEOMETRY THE ARNOLD CONJECTURE AND THE FLOER EQUATION THE MASLOV INDEX LINEARIZATION AND TRANSVERSALITY SPACES OF TRAJECTORIES FROM FLOER TO MORSE FLOER HOMOLOGY: INVARIANCE ELLIPTIC REGULARITY TECHNICAL LEMMAS EXERCISES FOR THE SECOND PART APPENDICES: WHAT YOU NEED TO KNOW TO READ THIS BOOK DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. MORSE THEORY AND FLOER HOMOLOGY / AUDIN, MICHELE : 2014 ABSTRACT / INHALTSTEXT THIS BOOK IS AN INTRODUCTION TO MODERN METHODS OF SYMPLECTIC TOPOLOGY. IT IS DEVOTED TO EXPLAINING THE SOLUTION OF AN IMPORTANT PROBLEM ORIGINATING FROM CLASSICAL MECHANICS: THE ARNOLD CONJECTURE , WHICH ASSERTS THAT THE NUMBER OF 1-PERIODIC TRAJECTORIES OF A NON-DEGENERATE HAMILTONIAN SYSTEM IS BOUNDED BELOW BY THE DIMENSION OF THE HOMOLOGY OF THE UNDERLYING MANIFOLD. THE FIRST PART IS A THOROUGH INTRODUCTION TO MORSE THEORY, A FUNDAMENTAL TOOL OF DIFFERENTIAL TOPOLOGY. IT DEFINES THE MORSE COMPLEX AND THE MORSE HOMOLOGY, AND DEVELOPS SOME OF THEIR APPLICATIONS. MORSE HOMOLOGY ALSO SERVES A SIMPLE MODEL FOR FLOER HOMOLOGY, WHICH IS COVERED IN THE SECOND PART. FLOER HOMOLOGY IS AN INFINITE-DIMENSIONAL ANALOGUE OF MORSE HOMOLOGY. ITS INVOLVEMENT HAS BEEN CRUCIAL IN THE RECENT ACHIEVEMENTS IN SYMPLECTIC GEOMETRY AND IN PARTICULAR IN THE PROOF OF THE ARNOLD CONJECTURE. THE BUILDING BLOCKS OF FLOER HOMOLOGY ARE MORE INTRICATE AND IMPLY THE USE OF MORE SOPHISTICATED ANALYTICAL METHODS, ALL OF WHICH ARE EXPLAINED IN THIS SECOND PART. THE THREE APPENDICES PRESENT A FEW PREREQUISITES IN DIFFERENTIAL GEOMETRY, ALGEBRAIC TOPOLOGY AND ANALYSIS. THE BOOK ORIGINATED IN A GRADUATE COURSE GIVEN AT STRASBOURG UNIVERSITY, AND CONTAINS A LARGE RANGE OF FIGURES AND EXERCISES. MORSE THEORY AND FLOER HOMOLOGY WILL BE PARTICULARLY HELPFUL FOR GRADUATE AND POSTGRADUATE STUDENTS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Audin, Michèle 1954- Damian, Mihai
author2	Erné, Reinie
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discipline	Mathematik Medizin
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spelling	Audin, Michèle 1954- Verfasser (DE-588)14151552X aut Théorie de Morse et homologie de Floer Morse theory and Floer homology Michèle Audin ; Mihai Damian. Translated by Reinie Erné London Springer [2014] © 2014 1 Online-Ressource (xiv, 596 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Universitext Morse-Theorie (DE-588)4197103-6 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Homologie (DE-588)4141951-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Morse-Theorie (DE-588)4197103-6 s Homologietheorie (DE-588)4141714-8 s DE-604 Homologie (DE-588)4141951-0 s Damian, Mihai Verfasser aut Erné, Reinie trl Erscheint auch als Druck-Ausgabe, Paperback 978-1-4471-5495-2 https://doi.org/10.1007/978-1-4471-5496-9 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026927942&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026927942&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Audin, Michèle 1954- Damian, Mihai Morse theory and Floer homology Morse-Theorie (DE-588)4197103-6 gnd Homologietheorie (DE-588)4141714-8 gnd Homologie (DE-588)4141951-0 gnd
subject_GND	(DE-588)4197103-6 (DE-588)4141714-8 (DE-588)4141951-0 (DE-588)4123623-3
title	Morse theory and Floer homology
title_alt	Théorie de Morse et homologie de Floer
title_auth	Morse theory and Floer homology
title_exact_search	Morse theory and Floer homology
title_full	Morse theory and Floer homology Michèle Audin ; Mihai Damian. Translated by Reinie Erné
title_fullStr	Morse theory and Floer homology Michèle Audin ; Mihai Damian. Translated by Reinie Erné
title_full_unstemmed	Morse theory and Floer homology Michèle Audin ; Mihai Damian. Translated by Reinie Erné
title_short	Morse theory and Floer homology
title_sort	morse theory and floer homology
topic	Morse-Theorie (DE-588)4197103-6 gnd Homologietheorie (DE-588)4141714-8 gnd Homologie (DE-588)4141951-0 gnd
topic_facet	Morse-Theorie Homologietheorie Homologie Lehrbuch
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