عنوان

Morse Homology

شابک

9783034885775

شابک

9783034896887

شماره

b406260

عنوان اصلي

Morse Homology

نام عام مواد

[Book]

نام نخستين پديدآور

by Matthias Schwarz.

محل نشرو پخش و غیره

Basel :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

1993.

عنوان فروست

Progress in Mathematics ;

مشخصه جلد

111

متن يادداشت

1 Introduction -- 1.1 Background -- 1.2 Overview -- 1.3 Remarks on the Methods -- 1.4 Table of Contents -- 1.5 Acknowledgments -- 2 The Trajectory Spaces -- 2.1 The Construction of the Trajectory Spaces -- 2.2 Fredholm Theory -- 2.3 Transversality -- 2.4 Compactness -- 2.5 Gluing -- 3 Orientation -- 3.1 Orientation and Gluing in the Trivial Case -- 3.2 Coherent Orientation -- 4 Morse Homology Theory -- 4.1 The Main Theorems of Morse Homology -- 4.2 The Eilenberg-Steenrod Axioms -- 4.3 The Uniqueness Result -- 5 Extensions -- 5.1 Morse Cohomology -- 5.2 Poincaré Duality -- 5.3 Products -- A Curve Spaces and Banach Bundles -- B The Geometric Boundary Operator.

بدون عنوان

0

متن يادداشت

1.1 Background The subject of this book is Morse homology as a combination of relative Morse theory and Conley's continuation principle. The latter will be useda s an instrument to express the homology encoded in a Morse complex associated to a fixed Morse function independent of this function. Originally, this type of Morse-theoretical tool was developed by Andreas Floer in order to find a proof of the famous Arnold conjecture, whereas classical Morse theory turned out to fail in the infinite-dimensional setting. In this framework, the homological variant of Morse theory is also known as Floer homology. This kind of homology theory is the central topic of this book. But first, it seems worthwhile to outline the standard Morse theory. 1.1.1 Classical Morse Theory The fact that Morse theory can be formulated in a homological way is by no means a new idea. The reader is referred to the excellent survey paper by Raoul Bott [Bol.

شماره استاندارد بين المللي کتاب و موسيقي

9783034896887

عنوان

Springer eBooks

موضوع مستند نشده

Geometry.

موضوع مستند نشده

Global analysis (Mathematics).

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Topology.

مستند نام اشخاص تاييد نشده

Schwarz, Matthias.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307160000.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y