Nantilus
An invitation to Morse theory
This self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory (over the reals). The second part con...
| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | An invitation to Morse theory / Liviu I. Nicolaescu |
| Édition : | 1st ed. 2007. |
| Publié : |
New York, NY :
Springer New York
, [20..] Cham : Springer Nature |
| Collection : | Universitext (Berlin. Internet) |
| Titre de l'ensemble : | Universitext |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | Morse Functions. The Topology of Morse Functions. Applications. Basics of Complex Morse Theory. Exercises and Solutions |
| Sujets : | |
| Documents associés : | Autre format:
An invitation to Morse theory Autre format: Optical fiber sensors Autre format: An invitation to Morse theory |
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| 205 | |a 1st ed. 2007. | ||
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| 327 | 1 | |a Morse Functions |a The Topology of Morse Functions |a Applications |a Basics of Complex Morse Theory |a Exercises and Solutions | |
| 330 | |a This self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory (over the reals). The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a. Picard-Lefschetz theory. This is the first textbook to include topics such as Morse-Smale flows, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. The exposition is enhanced with examples, problems, and illustrations, and will be of interest to graduate students as well as researchers. The reader is expected to have some familiarity with cohomology theory and with the differential and integral calculus on smooth manifolds. Liviu Nicolaescu is Associate Professor of Mathematics at University of Notre Dame | ||
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| 452 | | | |0 021288003 |t Optical fiber sensors |o proceedings of the 6th international conference, OFS '89, Paris, France, September 18-20, 1989 |f editors, H.J. Arditty, J.P. Dakin, and R. Th. Kersten |c Berlin |n Springer-Verlag |d 1989 |p 1 vol. (xvi, 576 p.) |s Springer proceedings in physics |y 3-540-51719-7 | |
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