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Floer homology, introduced by Andreas Floer in 1985, merges Morse theory, gauge theory, and the study of homology 3-spheres, with applications to the anti-self-dual Yang-Mills equations on 4-manifolds. The theory encompasses various versions, including Lagrangian Floer homology and Instanton Homology, which have been further developed into Heegaard Floer homology and monopole homology. The lectures aim to review Morse theory and introduce the Chern-Simons invariant, leading to the construction of instanton

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borest_l

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EN