English

Free involutions on $S^2 \times S^3$

Geometric Topology 2010-12-17 v3

Abstract

In this paper, we classify smooth 5-manifolds with fundamental group isomorphic to \z/2\z/2 and universal cover diffeomorphic to S2×S3S^2 \times S^3. This gives a classification of smooth free involutions on S2×S3S^2 \times S^3 up to conjugation.

Keywords

Cite

@article{arxiv.0907.2800,
  title  = {Free involutions on $S^2 \times S^3$},
  author = {Yang Su},
  journal= {arXiv preprint arXiv:0907.2800},
  year   = {2010}
}

Comments

17 pages. A mistake in the statement of Theorem 1.1 is corrected. A new free involution is constructed via surgery