Mathematical Research Letters

Volume 7 (2000)

Number 6

On Embedding Circle-Bundles in Four-Manifolds

Pages: 657 – 669



Peter Ozsváth (Princeton University)


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.

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