Gradient like Morse-Smale dynamical systems on 4-manifolds

1999/04/02 by Alexander O. Prishlyak, Prishlyak, Alexander O.
Mathematics · #58F25 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Primary 58F09. Secondary 57N13 #math.DS #math.GT #msc:57N13 #msc:58F09. #msc:58F25

paper · pdf · doi:10.48550/arxiv.math/9904009

arxiv created 1999/04/02 · arxiv updated 2009/11/30

Abstract

The complete invariant for gradient like Morse-Smale dynamical systems (vector fields and diffeomorphisms) on closed 4-manifolds are constructed. It is same as Kirby diagram in a case of polar vector field without fixed points of index 3.

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