Degree ±1 self-maps and self-homeomorphisms on prime 3-manifolds

Sun, Hongbin¹

¹Department of Mathmatics, Princeton University, Princeton, NJ 08544

Algebraic and Geometric Topology, Tome 10 (2010) no. 2, pp. 867-890

Résumé

We determine all closed orientable geometrizable prime 3–manifolds that admit a degree 1 or − 1 self-map not homotopic to a homeomorphism.

Détail

DOI : 10.2140/agt.2010.10.867

Keywords: degree $\pm 1$ self-map, homeomorphism, mapping class group, Seifert manifold

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