Complete topological invariants of Morse-Smale flows and handle decompositions of 3-manifolds

DOI10.1007/s10958-007-0287-yzbMath1152.57029OpenAlexW1976290437MaRDI QIDQ950752

O. O. Pryshlyak

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0287-y

Mathematics Subject Classification ID

Related Items (8)

Flows with minimal number of singularities in the Boy's surface ⋮ Topological structure of optimal flows on the Girl's surface ⋮ Morse flows with fixed points on the boundary of 3-manifolds ⋮ Behavior 0 nonsingular Morse Smale flows on \(S^3\) ⋮ Classification of Morse–Smale systems and topological structure of the underlying manifolds ⋮ Heegaard diagrams and optimal Morse flows on non-orientable 3-manifolds of genus 1 and genus $2$ ⋮ Nonsingular Morse-Smale flows with three periodic orbits on orientable 3-manifolds ⋮ The energy function of gradient-like flows and the topological classification problem

Cites Work

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• Round handles and non-singular Morse-Smale flows
• Morse-Smale vector fields without closed trajectories on three-dimensional manifolds.
• The combinatorics of gradient-like flows and foliations on closed surfaces. I: Topological classification
• Smale Flows on the Three-Sphere
• Symbolic Dynamics in Flows on Three-Manifolds
• The C*-algebras of Morse—Smale flows on two-manifolds
• The topological classification of cascades on closed two-dimensional manifolds
• Classification of gradient-like flows on dimensions two and three
• Classification of Morse-Smale flows on two-dimensional manifolds
• On graphs embedded in a surface
• Topological classification of flows on closed two-dimensional manifolds
• Smale flows in dimension 3: finite presentations of invariant neighbourhoods of saddle sets

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