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2001 Computer Calculation of the Degree of Maps into the Poincaré Homology Sphere
Claude Hayat-Legrand, Sergei Matveev, Heiner Zeischang
Experiment. Math. 10(4): 497-508 (2001).

Abstract

Let $M$ and $P$ be Seifert 3-manifolds. Is there a degree one map $f\colon M \rightarrow P\,$? The problem was completely solved by Hayat-Legrand, Wang, and Zieschang for all cases except when $P$ is the Poincaré homology sphere. We investigate the remaining case by elaborating and implementing a computer algorithm that calculates the degree. As a result, we get an explicit experimental expression for the degree through numerical invariants of the induced homomorphism $f_{\#}\colon \pi_1 (M) \rightarrow \pi_1(P)$.

Citation

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Claude Hayat-Legrand. Sergei Matveev. Heiner Zeischang. "Computer Calculation of the Degree of Maps into the Poincaré Homology Sphere." Experiment. Math. 10 (4) 497 - 508, 2001.

Information

Published: 2001
First available in Project Euclid: 26 November 2003

zbMATH: 1004.55001
MathSciNet: MR1881750

Subjects:
Primary: 55M25
Secondary: 20F38 , 55R55

Rights: Copyright © 2001 A K Peters, Ltd.

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Vol.10 • No. 4 • 2001
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