Heegaard diagrams and optimal Morse flows on non-orientable 3-manifolds of genus 1 and genus $2$
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2020
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The present paper investigates Heegaard diagrams of non-orientable closed $3$-manifolds, i.e. a non-orienable closed surface together with two sets of meridian disks of both handlebodies.
It is found all possible non-orientable genus $2$ Heegaard diagrams of complexity less than $6$.
Topological properties of Morse flows on closed smooth non-orientable $3$-manifolds are described.
Normalized Heegaard diagrams are furhter used for classification Morse flows with a minimal number of singular points and singular trajectories