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

View as HTML
View as gif image

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.

Location: http://mech.math.msu.su/~fpm/eng/k05/k054/k05414h.htm

Last modified: November 25, 2005