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The Resource An invitation to Morse theory, Liviu Nicolaescu

An invitation to Morse theory, Liviu Nicolaescu

Label
An invitation to Morse theory
Title
An invitation to Morse theory
Statement of responsibility
Liviu Nicolaescu
Creator
Subject
Language
eng
Summary
"This self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course or algebraic topology. 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."--Jacket
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Nicolaescu, Liviu I
Dewey number
514.74
Index
index present
Language note
English
LC call number
QA331
LC item number
.N498 2007eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Universitext
http://library.link/vocab/subjectName
  • Morse theory
  • Morse, Théorie de
  • Morse theory
  • Morse theory
Label
An invitation to Morse theory, Liviu Nicolaescu
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Notations and conventions -- 1. Morse functions -- The local structure of Morse functions -- Existence of Morse functions -- 2. The topology of Morse functions -- Surgery, handle attachment, and cobordisms -- The topology of sublevel sets -- Morse inequalities -- Morse-Smale dynamics -- Morse-Floer homology -- Morse-Bott functions -- Min-Max theory -- 3. Applications -- The cohomology of complex grassmannians -- Lefschetz hyderplan theorem -- Symplectic manifolds and Hamiltonian flows -- Morse theory of moment maps -- S1-Equivariant localization -- 4. Basics of complex Morse theory -- Some fundamental constructions -- Topological applications of Lefschetz pencils -- The hard Lefschetz theorem -- Vanishing cycles and local monodromy -- Proff of the Picard-Lefschetz formulæ -- 5. Exercises and solutions -- Exercises -- Solutions to selected exercises
Control code
191449272
Dimensions
unknown
Extent
1 online resource (xiv, 241 pages).
Form of item
online
Isbn
9780387495095
Lccn
2006938271
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-0-387-49510-1
  • 10.1007/978-0-387-49
  • 9780387495095
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-49509-5
Specific material designation
remote
System control number
(OCoLC)191449272
Label
An invitation to Morse theory, Liviu Nicolaescu
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Notations and conventions -- 1. Morse functions -- The local structure of Morse functions -- Existence of Morse functions -- 2. The topology of Morse functions -- Surgery, handle attachment, and cobordisms -- The topology of sublevel sets -- Morse inequalities -- Morse-Smale dynamics -- Morse-Floer homology -- Morse-Bott functions -- Min-Max theory -- 3. Applications -- The cohomology of complex grassmannians -- Lefschetz hyderplan theorem -- Symplectic manifolds and Hamiltonian flows -- Morse theory of moment maps -- S1-Equivariant localization -- 4. Basics of complex Morse theory -- Some fundamental constructions -- Topological applications of Lefschetz pencils -- The hard Lefschetz theorem -- Vanishing cycles and local monodromy -- Proff of the Picard-Lefschetz formulæ -- 5. Exercises and solutions -- Exercises -- Solutions to selected exercises
Control code
191449272
Dimensions
unknown
Extent
1 online resource (xiv, 241 pages).
Form of item
online
Isbn
9780387495095
Lccn
2006938271
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-0-387-49510-1
  • 10.1007/978-0-387-49
  • 9780387495095
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-49509-5
Specific material designation
remote
System control number
(OCoLC)191449272

Library Locations

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      38.944491 -92.326012
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