Kirby diagram of polar flows on four-dimensional manifolds

E. Ya. Gurevich ; I. A. Saraev

Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 45-66.

Résumé

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.

Détail

Keywords: polar flow, gradient-like flow, structurally stable flow, topological classification, Kirby diagram.

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