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Morse Theory and Floer Homology

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Cover of 'Morse Theory and Floer Homology'

Table of Contents

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    Book Overview
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    Chapter 1 Morse Functions
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    Chapter 2 Pseudo-Gradients
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    Chapter 3 The Morse Complex
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    Chapter 4 Morse Homology, Applications
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    Chapter 5 What You Need to Know About Symplectic Geometry
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    Chapter 6 The Arnold Conjecture and the Floer Equation
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    Chapter 7 The Geometry of the Symplectic Group, the Maslov Index
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    Chapter 8 Linearization and Transversality
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    Chapter 9 Floer Homology: Spaces of Trajectories
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    Chapter 10 From Floer to Morse
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    Chapter 11 Floer Homology: Invariance
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    Chapter 12 The Elliptic Regularity of the Floer Operator
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    Chapter 13 The Lemmas on the Second Derivative of the Floer Operator and Other Technicalities
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    Chapter 14 Exercises for the Second Part
Attention for Chapter 3: The Morse Complex
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