Mathematical Research Letters
Volume 7 (2000)
On Embedding Circle-Bundles in Four-Manifolds
Pages: 657 – 669
In this paper, 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.