Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Hauptmenü
-
Einfache Suche
.
Erweiterte Suche
.
Zeitschriften-Suche
.
Suchergebnisse verfeinern
.
Präferenzen
.
Search Menu
Einfache Suche
.
Erweiterte Suche
.
Suche nach Neuerwerbungen
.
Zeitschriften-Suche
.
Suchergebnisse verfeinern
.
Bottom Menu
Hilfe
Italienisch
.
Englisch
.
Deutsch
.
New Item Menu
Suche nach Neuerwerbungen
.
Neuerwerbungsliste
.
Titelsammlung anzeigen
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
Sie befinden sich hier
:
>
Search Refine
>
Suchergebnisse
Katalogdatenanzeige
Katalogdatenanzeige
Vorheriger Titel
.
Morse Theory and Floer Homology
.
Bookmark this Record
Katalogdatensatz29474
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Buchsuche
.
.
Amazon Books
.
Kataloginformation
Katalogdatensatz29474
.
Besprechungen
Katalogdatensatz29474
.
British Library
Resolver for RSN-29474
Google Scholar
Resolver for RSN-29474
WorldCat
Resolver for RSN-29474
Catalogo Nazionale SBN
Resolver for RSN-29474
GoogleBooks
Resolver for RSN-29474
ICTP Library
Resolver for RSN-29474
.
Link gemeinsam nutzen
Gehe zu Link
Kataloginformation
Feldname
Details
Dewey Class
516
Titel
Morse Theory and Floer Homology ([Ebook]) / by Michèle Audin, Mihai Damian.
Verfasser
Audin, Michèle
Added Personal Name
Damian, Mihai
Other name(s)
SpringerLink (Online service)
Veröffentl
London Springer London 2014.
Physical Details
XIV, 596 p. 114 illus. : online resource.
ISBN
9781447154969
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4471-5496-9
LINKS ZU 'VERWANDTEN WERKEN
Schlagwörter:
.
Algebraic Topology
.
Cell aggregation
.
Differential Geometry
.
Geometry
.
Global differential geometry
.
Manifolds and Cell Complexes (incl. Diff.Topology)
.
Authors:
Audin, Michèle
.
author
.
Damian, Mihai
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Universitext
.
Classification:
516
.
516 (DDC 23)
.
.
ISBD-Anzeige
Katalogdatensatz29474
.
Kategorien-Anzeige
Katalogdatensatz29474
.
Verwandte Werke
Katalogdatensatz29474
.
MARC-XML
Katalogdatensatz29474
.
Titel zur Titelsammlung hinzufügen
Katalogdatensatz29474
.
Kataloginformation29474
Datensatzanfang
.
Kataloginformation29474
Seitenanfang
.
Titel herunterladen
Katalogdatensatz29474
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Besprechungen
Dieser Titel wurde noch nicht bewertet.
Neue Besprechung und/oder Bewertung hinzufügen
29474
1
29474
-
2
29474
-
3
29474
-
4
29474
-
5
29474
-
Schnellsuche
Suche nach