6533b7d1fe1ef96bd125c0ff
RESEARCH PRODUCT
Round-handle decomposition ofS2×S1
Alicia CorderoJ. Martínez AlfaroP. Vindelsubject
Pure mathematicsHandle decompositionGeneral MathematicsBoundary (topology)Morse–Smale systemTopologyPrime (order theory)ManifoldComputer Science ApplicationsFlow (mathematics)Decomposition (computer science)Mathematics::Symplectic GeometryTopology (chemistry)Mathematicsdescription
A round-handle decomposition is associated with a non-singular Morse–Smale flow on 3-manifolds prime to S 2× S 1. This decomposition has been built only for the 3-sphere S 3. In this paper we obtain the round-handle decomposition of non-singular Morse–Smale flows on S 2× S 1, in order to get all the different fattened round handles in this manifold. Some of them include non-separating boundary components that induce the topology of the links of periodic orbits.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-05-23 | Dynamical Systems |