Geodesic
Kirby diagram of polar flows on four-dimensional manifolds
Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 45-66

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We solve the topological classification problem for polar flows on closed four-dimensional manifolds whose set of saddle equilibrium states consists only of points having two-dimensional stable and unstable manifolds. It is shown that the Kirby diagram, which is a framed link on a sphere intersecting the flow trajectories, is a complete topological invariant for such flows.
Keywords: polar flow, gradient-like flow, structurally stable flow, topological classification, Kirby diagram. 
@article{MZM_2024_116_1_a3,
     author = {E. Ya. Gurevich and I. A. Saraev},
     title = {Kirby diagram of polar flows on four-dimensional manifolds},
     journal = {Matemati\v{c}eskie zametki},
     pages = {45--66},
     publisher = {mathdoc},
     volume = {116},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2024_116_1_a3/}
}
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E. Ya. Gurevich; I. A. Saraev. Kirby diagram of polar flows on four-dimensional manifolds. Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 45-66. http://geodesic.mathdoc.fr/item/MZM_2024_116_1_a3/