80,70 €*
Versandkostenfrei per Post / DHL
Lieferzeit 2-4 Werktage
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.
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.
Translation of the popular French textbook
Provides a unified presentation of Morse theory and Floer homology that is unique in the English language
Explains all the required background on symplectic geometry, differential geometry, algebraic topology and analysis
Includes supplementary material: [...]
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.
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Universitext |
| Inhalt: |
xiv
596 S. 114 s/w Illustr. 596 p. 114 illus. |
| ISBN-13: | 9781447154952 |
| ISBN-10: | 1447154959 |
| Sprache: | Englisch |
| Herstellernummer: | 86299505 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Audin, Michèle
Damian, Mihai |
| Übersetzung: | Erné, Reinie |
| Hersteller: |
Springer London
Universitext |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 33 mm |
| Von/Mit: | Michèle Audin (u. a.) |
| Erscheinungsdatum: | 17.12.2013 |
| Gewicht: | 0,914 kg |
Translation of the popular French textbook
Provides a unified presentation of Morse theory and Floer homology that is unique in the English language
Explains all the required background on symplectic geometry, differential geometry, algebraic topology and analysis
Includes supplementary material: [...]
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.
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Universitext |
| Inhalt: |
xiv
596 S. 114 s/w Illustr. 596 p. 114 illus. |
| ISBN-13: | 9781447154952 |
| ISBN-10: | 1447154959 |
| Sprache: | Englisch |
| Herstellernummer: | 86299505 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Audin, Michèle
Damian, Mihai |
| Übersetzung: | Erné, Reinie |
| Hersteller: |
Springer London
Universitext |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 33 mm |
| Von/Mit: | Michèle Audin (u. a.) |
| Erscheinungsdatum: | 17.12.2013 |
| Gewicht: | 0,914 kg |
Ähnliche Produkte
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Werktage
Lieferzeit 1-2 Werktage
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Werktage
Lieferzeit 1-2 Wochen