FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 4, PAGES 173-183

**Degree-one maps of Seifert manifolds into the Poincaré homology
sphere**

A. A. Perfilyev

Abstract

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This paper is devoted to the Legrand--Wang--Zieschang problem of
minimal (in the sense of degree-one maps) Seifert manifolds.
The main result is that the set of all possible map degrees from
a Seifert manifold to a manifold with a finite
fundamental group whose base is a sphere or a torus depends
only on residues of parameters of exceptional fibers of the Seifert
manifold.
The minimality of some Seifert manifolds is proved by using this
theorem.

Location: http://mech.math.msu.su/~fpm/eng/k05/k054/k05413h.htm

Last modified: November 25, 2005