Circle-valued Morse Theory
Pajitnov, Andrei V.![Circle-valued Morse Theory](https://support.digitalhusky.com/media/annotations/sorted/175/17541023/CHSBZCOP0317541023.jpg)
In 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 ...