On Embedding Circle-Bundles in Four-Manifolds

Peter Ozsvath; Zoltan Szabo

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On Embedding Circle-Bundles in Four-Manifolds

Peter Ozsvath·Zoltan Szabo

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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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Peter Ozsvath, Zoltan Szabo. 2000-06-26. On Embedding Circle-Bundles in Four-Manifolds. https://arxiv.org/abs/math/0006191

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