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130626  eng 
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a 9781461411055

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1 

a Nicolaescu, Liviu

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0 
a An Invitation to Morse Theory
h Elektronische Ressource
c by Liviu Nicolaescu

250 


a 2nd ed. 2011

260 


a New York, NY
b Springer New York
c 2011, 2011

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a XVI, 353 p. 47 illus
b online resource

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a Preface  Notations and Conventions  1 Morse Functions  2 The Topology of Morse Functions  3 Applications  4 MorseSmale Flows and Whitney Stratifications  5 Basics of Complex Morse Theory  6 Exercises and Solutions  References  Index

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a Complex manifolds

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a Global Analysis and Analysis on Manifolds

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a Differential geometry

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a Manifolds and Cell Complexes (incl. Diff.Topology)

653 


a Differential Geometry

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a Manifolds (Mathematics)

653 


a Global analysis (Mathematics)

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0 
7 
a eng
2 ISO 6392

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b Springer
a Springer eBooks 2005

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a Universitext

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u https://doi.org/10.1007/9781461411055?nosfx=y
x Verlag
3 Volltext

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0 

a 514.74

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a This selfcontained 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. 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. PicardLefschetz theory. This is the first textbook to include topics such as MorseSmale flows, Floer homology, minmax 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. Some features of the second edition include added applications, such as Morse theory and the curvature of knots, the cohomology of the moduli space of planar polygons, and the DuistermaatHeckman formula. The second edition also includes a new chapter on MorseSmale flows and Whitney stratifications, many new exercises, and various corrections from the first edition
