4-manifolds and intersection forms with local coefficients
Differential Geometry
2012-03-06 v2 Algebraic Topology
Geometric Topology
Abstract
We extend Donaldson's diagonalization theorem to intersection forms with certain local coefficients, under some constraints. This provides new examples of non-smoothable topological 4-manifolds.
Cite
@article{arxiv.1004.0077,
title = {4-manifolds and intersection forms with local coefficients},
author = {Kim A. Froyshov},
journal= {arXiv preprint arXiv:1004.0077},
year = {2012}
}
Comments
30 pages. v2: The exposition has been improved following the referee's suggestions. Proposition 1.1 contains new examples of applications. To appear in the J. Diff. Geom