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Degree $\pm1$ self-maps and self-homeomorphisms on prime $3$–manifolds

Hongbin Sun

Algebraic & Geometric Topology 10 (2010) 867–890
Abstract

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

Keywords
degree $\pm 1$ self-map, homeomorphism, mapping class group, Seifert manifold
Mathematical Subject Classification 2000
Primary: 57M05, 57M50
Secondary: 20F34
References
Publication
Received: 16 September 2009
Revised: 4 February 2010
Accepted: 24 February 2010
Published: 10 April 2010
Authors
Hongbin Sun
Department of Mathmatics
Princeton University
Princeton, NJ 08544