Heegaard diagrams and optimal Morse flows on non-orientable 3-manifolds of genus 1 and genus $2$
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 p...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Odesa National University of Technology
2020-12-01
|
| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | https://journals.onaft.edu.ua/index.php/geometry/article/view/1779 |
| Summary: | 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 |
|---|---|
| ISSN: | 2072-9812 2409-8906 |