On Embedding Circle-Bundles in Four-Manifolds
classification
🧮 math.DG
keywords
four-manifoldssurfacesalgebraicalongarisingbundlescertaincircle
read the original 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.
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