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Chapter 8 Morse Theory and Floer Homology

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Riemannian Geometry and Geometric Analysis

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Abstract

This chapter introduces Morse theory and Floer homology.

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Notes

  1. 1.

    In this textbook, we do not systematically discuss infinite dimensional Riemannian manifolds. The essential point is that they are modeled on Hilbert instead of Euclidean spaces. At certain places, the constructions require a little more care than in the finite dimensional case, because compactness arguments are no longer available.

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Authors and Affiliations

  1. Max Planck Institute for Mathematics in the Sciences, Max Planck Society, Leipzig, Germany

    Jürgen Jost

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  1. Jürgen Jost
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Jost, J. (2017). Chapter 8 Morse Theory and Floer Homology. In: Riemannian Geometry and Geometric Analysis. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-61860-9_9

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