The Resource An Invitation to Morse Theory, by Liviu Nicolaescu, (electronic resource)

An Invitation to Morse Theory, by Liviu Nicolaescu, (electronic resource)

Label
An Invitation to Morse Theory
Title
An Invitation to Morse Theory
Statement of responsibility
by Liviu Nicolaescu
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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. 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, Floer homology, 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. 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 Duistermaat-Heckman formula. The second edition also includes a new chapter on Morse-Smale flows and Whitney stratifications, many new exercises, and various corrections from the first edition
Member of
http://library.link/vocab/creatorName
Nicolaescu, Liviu
Dewey number
514/.74
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
tWLg5nI9-Sw
Image bit depth
0
Language note
English
LC call number
QA614-614.97
Literary form
non fiction
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Global analysis
  • Global differential geometry
  • Cell aggregation
  • Global Analysis and Analysis on Manifolds
  • Differential Geometry
  • Manifolds and Cell Complexes (incl. Diff.Topology)
Label
An Invitation to Morse Theory, by Liviu Nicolaescu, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Preface -- Notations and Conventions -- 1 Morse Functions -- 2 The Topology of Morse Functions -- 3 Applications -- 4 Morse-Smale Flows and Whitney Stratifications -- 5 Basics of Complex Morse Theory -- 6 Exercises and Solutions -- References -- Index
Dimensions
unknown
Edition
2nd ed. 2011.
Extent
1 online resource (XVI, 353 p. 47 illus.)
File format
multiple file formats
Form of item
online
Isbn
9781461411055
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-1105-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3390000000020476
  • (SSID)ssj0000610082
  • (PQKBManifestationID)11426262
  • (PQKBTitleCode)TC0000610082
  • (PQKBWorkID)10623489
  • (PQKB)11471601
  • (DE-He213)978-1-4614-1105-5
  • (EXLCZ)993390000000020476
Label
An Invitation to Morse Theory, by Liviu Nicolaescu, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Preface -- Notations and Conventions -- 1 Morse Functions -- 2 The Topology of Morse Functions -- 3 Applications -- 4 Morse-Smale Flows and Whitney Stratifications -- 5 Basics of Complex Morse Theory -- 6 Exercises and Solutions -- References -- Index
Dimensions
unknown
Edition
2nd ed. 2011.
Extent
1 online resource (XVI, 353 p. 47 illus.)
File format
multiple file formats
Form of item
online
Isbn
9781461411055
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-1105-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3390000000020476
  • (SSID)ssj0000610082
  • (PQKBManifestationID)11426262
  • (PQKBTitleCode)TC0000610082
  • (PQKBWorkID)10623489
  • (PQKB)11471601
  • (DE-He213)978-1-4614-1105-5
  • (EXLCZ)993390000000020476

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