Lectures on Morse Homology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2004
|
| Schriftenreihe: | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series
29 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002. The main goal of the course was to give a complete and detailed proof of the Morse Homology Theorem (Theo rem 7.4) at a level appropriate for second year graduate students. The course was designed for students who had a basic understanding of singular homol ogy, CW-complexes, applications of the existence and uniqueness theorem for O.D.E.s to vector fields on smooth Riemannian manifolds, and Sard's Theo rem. We would like to thank the following students for their participation in the course and their help proofreading early versions of this manuscript: James Barton, Shantanu Dave, Svetlana Krat, Viet-Trung Luu, and Chris Saunders. We would especially like to thank Chris Saunders for his dedication and en thusiasm concerning this project and the many helpful suggestions he made throughout the development of this text. We would also like to thank Bob Wells for sharing with us his extensive knowledge of CW-complexes, Morse theory, and singular homology. Chapters 3 and 6, in particular, benefited significantly from the many insightful conver sations we had with Bob Wells concerning a Morse function and its associated CW-complex |
| Beschreibung: | 1 Online-Ressource (X, 326 p) |
| ISBN: | 9781402026966 9789048167050 |
| ISSN: | 0927-4529 |
| DOI: | 10.1007/978-1-4020-2696-6 |
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Datensatz im Suchindex
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| dewey-ones | 514 - Topology |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4020-2696-6 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781402026966 9789048167050 |
| issn | 0927-4529 |
| language | English |
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| spelling | Banyaga, Augustin Verfasser aut Lectures on Morse Homology by Augustin Banyaga, David Hurtubise Dordrecht Springer Netherlands 2004 1 Online-Ressource (X, 326 p) txt rdacontent c rdamedia cr rdacarrier Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series 29 0927-4529 This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002. The main goal of the course was to give a complete and detailed proof of the Morse Homology Theorem (Theo rem 7.4) at a level appropriate for second year graduate students. The course was designed for students who had a basic understanding of singular homol ogy, CW-complexes, applications of the existence and uniqueness theorem for O.D.E.s to vector fields on smooth Riemannian manifolds, and Sard's Theo rem. We would like to thank the following students for their participation in the course and their help proofreading early versions of this manuscript: James Barton, Shantanu Dave, Svetlana Krat, Viet-Trung Luu, and Chris Saunders. We would especially like to thank Chris Saunders for his dedication and en thusiasm concerning this project and the many helpful suggestions he made throughout the development of this text. We would also like to thank Bob Wells for sharing with us his extensive knowledge of CW-complexes, Morse theory, and singular homology. Chapters 3 and 6, in particular, benefited significantly from the many insightful conver sations we had with Bob Wells concerning a Morse function and its associated CW-complex Mathematics Topological Groups Global analysis Differential Equations Algebraic topology Cell aggregation / Mathematics Global Analysis and Analysis on Manifolds Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Ordinary Differential Equations Topological Groups, Lie Groups Mathematik Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Morse-Theorie (DE-588)4197103-6 gnd rswk-swf Morse-Theorie (DE-588)4197103-6 s Algebraische Topologie (DE-588)4120861-4 s 1\p DE-604 Hurtubise, David Sonstige oth https://doi.org/10.1007/978-1-4020-2696-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Banyaga, Augustin Lectures on Morse Homology Mathematics Topological Groups Global analysis Differential Equations Algebraic topology Cell aggregation / Mathematics Global Analysis and Analysis on Manifolds Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Ordinary Differential Equations Topological Groups, Lie Groups Mathematik Algebraische Topologie (DE-588)4120861-4 gnd Morse-Theorie (DE-588)4197103-6 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4197103-6 |
| title | Lectures on Morse Homology |
| title_auth | Lectures on Morse Homology |
| title_exact_search | Lectures on Morse Homology |
| title_full | Lectures on Morse Homology by Augustin Banyaga, David Hurtubise |
| title_fullStr | Lectures on Morse Homology by Augustin Banyaga, David Hurtubise |
| title_full_unstemmed | Lectures on Morse Homology by Augustin Banyaga, David Hurtubise |
| title_short | Lectures on Morse Homology |
| title_sort | lectures on morse homology |
| topic | Mathematics Topological Groups Global analysis Differential Equations Algebraic topology Cell aggregation / Mathematics Global Analysis and Analysis on Manifolds Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Ordinary Differential Equations Topological Groups, Lie Groups Mathematik Algebraische Topologie (DE-588)4120861-4 gnd Morse-Theorie (DE-588)4197103-6 gnd |
| topic_facet | Mathematics Topological Groups Global analysis Differential Equations Algebraic topology Cell aggregation / Mathematics Global Analysis and Analysis on Manifolds Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Ordinary Differential Equations Topological Groups, Lie Groups Mathematik Algebraische Topologie Morse-Theorie |
| url | https://doi.org/10.1007/978-1-4020-2696-6 |
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