Smooth, nonsymplectic embeddings of rational balls in the complex projective plane
Geometric Topology
2020-06-23 v3
Abstract
We exhibit an infinite family of rational homology balls which embed smoothly but not symplectically in the complex projective plane. We also obtain a new lattice embedding obstruction from Donaldson's diagonalisation theorem, and use this to show that no two of our examples may be embedded disjointly.
Keywords
Cite
@article{arxiv.1906.05913,
title = {Smooth, nonsymplectic embeddings of rational balls in the complex projective plane},
author = {Brendan Owens},
journal= {arXiv preprint arXiv:1906.05913},
year = {2020}
}
Comments
12 pages, 3 figures. Final version, accepted for publication in Q. J. Math