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Lectures on Morse Homology
Language: en
Pages: 344
Authors: Augustin Banyaga
Categories: Mathematics
Type: BOOK - Published: 2004-10-29 - Publisher: Springer Science & Business Media

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This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy t
Morse Theory. (AM-51), Volume 51
Language: en
Pages: 163
Authors: John Milnor
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press

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One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years.
An Introduction to Morse Theory
Language: en
Pages: 244
Authors: Yukio Matsumoto
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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Finite-dimensional Morse theory is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. However,
Floer Homology, Gauge Theory, and Low-Dimensional Topology
Language: en
Pages: 318
Authors: Clay Mathematics Institute. Summer School
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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Mathematical gauge theory studies connections on principal bundles, or, more precisely, the solution spaces of certain partial differential equations for such c
An Invitation to Morse Theory
Language: en
Pages: 366
Authors: Liviu Nicolaescu
Categories: Mathematics
Type: BOOK - Published: 2011-12-02 - Publisher: Springer Science & Business Media

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This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology, and will also