Recognizing products of surfaces and simply connected 4-manifolds
Geometric Topology
2017-08-29 v2 Algebraic Topology
Abstract
We give necessary and sufficient conditions for a closed smooth 6-manifold N to be diffeomorphic to a product of a surface F and a simply connected 4-manifold M in terms of basic invariants like the fundamental group and cohomological data. Any isometry of the intersection form of M is realized by a self-diffeomorphism of M x F.
Keywords
Cite
@article{arxiv.1303.1759,
title = {Recognizing products of surfaces and simply connected 4-manifolds},
author = {Ian Hambleton and Matthias Kreck},
journal= {arXiv preprint arXiv:1303.1759},
year = {2017}
}
Comments
Changes in exposition following a referee's report