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This course aims to teach students how to calculate bounds on Morse-Novikov numbers of 3-manifolds based on the Morse-Novikov number of the trivial class. The course covers topics such as height functions, mud areas, knot types, circular bridges, and critical points. The teaching method involves a "hands-on" approach with a focus on a curious function on cohomology and a toy model related to links in the thickened torus. This course is intended for individuals interested in topology, geometry, and mathematical research.
