The Resource Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource)

Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource)

Label
Lectures on Morse Homology
Title
Lectures on Morse Homology
Statement of responsibility
by Augustin Banyaga, David Hurtubise
Creator
Contributor
Subject
Genre
Language
eng
Summary
This book presents in great detail all the results one needs to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. Most of these results can be found scattered throughout the literature dating from the mid to late 1900's in some form or other, but often the results are proved in different contexts with a multitude of different notations and different goals. This book collects all these results together into a single reference with complete and detailed proofs. The core material in this book includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory. More advanced topics include Morse theory on Grassmann manifolds and Lie groups, and an overview of Floer homology theories. With the stress on completeness and by its elementary approach to Morse homology, this book is suitable as a textbook for a graduate level course, or as a reference for working mathematicians and physicists
Member of
Cataloging source
AU@
http://library.link/vocab/creatorName
Banyaga, Augustin
Dewey number
514.74
Index
no index present
LC call number
QA614-614.97
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Hurtubise, David
Series statement
Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series,
Series volume
29
http://library.link/vocab/subjectName
  • Mathematics
  • Topological groups
  • Global analysis
  • Differential equations
  • Algebraic topology
  • Cell aggregation
Label
Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource)
Link
http://dx.doi.org/10.1007/978-1-4020-2696-6
Instantiates
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- The CW-Homology Theorem -- Basic Morse Theory -- The Stable/Unstable Manifold Theorem -- Basic Differential Topology -- Morse-Smale Functions -- The Morse Homology Theorem -- Morse Theory on Grassmann Manifolds -- An Overview of Floer Homology Theories -- Hints and References for Selected Problems -- Bibliography -- Symbol Index -- Index
Dimensions
unknown
Extent
1 online resource (ix, 326 pages).
File format
unknown
Form of item
online
Isbn
9781402026966
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4020-2696-6
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)853261792
  • (OCoLC)ocn853261792
Label
Lectures on Morse Homology, by Augustin Banyaga, David Hurtubise, (electronic resource)
Link
http://dx.doi.org/10.1007/978-1-4020-2696-6
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- The CW-Homology Theorem -- Basic Morse Theory -- The Stable/Unstable Manifold Theorem -- Basic Differential Topology -- Morse-Smale Functions -- The Morse Homology Theorem -- Morse Theory on Grassmann Manifolds -- An Overview of Floer Homology Theories -- Hints and References for Selected Problems -- Bibliography -- Symbol Index -- Index
Dimensions
unknown
Extent
1 online resource (ix, 326 pages).
File format
unknown
Form of item
online
Isbn
9781402026966
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4020-2696-6
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)853261792
  • (OCoLC)ocn853261792

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