FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 4, PAGES 185-196

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

A. Prishlyak

Abstract

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We construct a topological invariant for the canonical decomposition on prime and round handles associated with a Morse--Smale flow on a closed $3$-manifold. We prove that the flows are topologically equivalent if and only if their invariants coincide.

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Last modified: November 25, 2005