Circle-valued Morse Theory formatIsbn:Hardcover - 9783110158076 Mathematics and Physics

Mathematics and Physics

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Circle-valued Morse Theory formatIsbn:Hardcover - 9783110158076 Mathematics and PhysicsIn the early 1920s M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. Circle valued Morse theory originated from a problem in hydrodynamics studied by S. P. Novikov in the early 1980s. Nowadays, it is a constantly growing field of contemporary