Kirby Diagram of Polar Flows on Four-Dimensional Manifolds

被引：0
|
作者：
Gurevich, E. Ya. [1 ]
Saraev, I. A. [1 ]
机构：
[1] Natl Res Univ Higher Sch Econ Nizhny Novgorod, Nizhnii Novgorod 603155, Russia
来源：
MATHEMATICAL NOTES | 2024年 / 116卷 / 1-2期
基金：
俄罗斯科学基金会;
关键词：
polar flow; gradient-like flow; structurally stable flow; topological classification; Kirby diagram; TOPOLOGY; SYSTEMS; LINKS;
D O I：
10.1134/S0001434624070046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 secant sphere to the flow, is a complete topological invariant for such flows.
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页码：40 / 57
页数：18
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