On Embedding Circle-Bundles in Four-Manifolds
Differential Geometry
2007-05-23 v1
Abstract
We demonstrate an obstruction to finding certain splittings of four-manifolds along sufficiently twisted circle bundles over Riemann surfaces, arising from Seiberg-Witten theory. These obstructions are used to show a non-splitting result for algebraic surfaces of general type.
Cite
@article{arxiv.math/0006191,
title = {On Embedding Circle-Bundles in Four-Manifolds},
author = {Peter Ozsvath and Zoltan Szabo},
journal= {arXiv preprint arXiv:math/0006191},
year = {2007}
}
Comments
14 pages