Connected Components of the Space of Circle-Valued Morse Functions on Surfaces

Connected Components of the Space of Circle-Valued Morse Functions on Surfaces
Author: Sergey Maksymenko
Publisher:
Total Pages: 10
Release: 2018
Genre:
ISBN:


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We classify the path-components of the space of circle-valued Morse functions on compact surfaces: two Morse functions f,g : → belong to same path-component of this space if and only if they are homotopic and have equal numbers of critical points at each index.