Four-manifolds up to connected sum with complex projective planes
Geometric Topology
2023-04-13 v2 Algebraic Topology
Abstract
We show that closed, connected 4-manifolds up to connected sum with copies of the complex projective plane are classified in terms of the fundamental group, the orientation character and an extension class involving the second homotopy group. For fundamental groups that are torsion free or have one end, we reduce this further to a classification in terms of the homotopy 2-type.
Cite
@article{arxiv.1802.09811,
title = {Four-manifolds up to connected sum with complex projective planes},
author = {Daniel Kasprowski and Mark Powell and Peter Teichner},
journal= {arXiv preprint arXiv:1802.09811},
year = {2023}
}
Comments
37 pages. v2: former sections 5 and 6 rewritten and split into current sections 5, 6, and 7. Accepted for publication in American Journal of Mathematics