On Embedding Circle-Bundles in Four-Manifolds

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.

14 pages

References in corpus (2)

• Algebraic surfaces and Seiberg-Witten invariants
• The canonical class and the $C^{\infty }$ properties of Kähler surfaces