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

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The Journal

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Algebraic & Geometric Topology 10 (2010) 867–890

DOI: 10.2140/agt.2010.10.867

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

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

Primary: 57M05, 57M50

Secondary: 20F34

Received: 16 September 2009

Revised: 4 February 2010

Accepted: 24 February 2010

Published: 10 April 2010

Hongbin Sun
Department of Mathmatics Princeton University Princeton, NJ 08544