On virtual chirality of 3-manifolds

Abstract

We prove that if a prime 3-manifold M is not finitely covered by the 3-sphere or a product manifold, then M is virtually chiral, i.e. it has a finite cover that does not admit an orientation reversing self-homeomorphism. In general if a 3-manifold contains a virtually chiral prime summand, then it is virtually chiral.

arXiv comment14 pages, no figures. Comments are welcome!