On Embedding Circle-Bundles in Four-Manifolds

Details On Embedding Circle-Bundles in Four-Manifolds On Embedding Circle-Bundles in Four-Manifolds

2000-06-26

arxiv.org/abs/math/0006191v1

Mathematics

Differential Geometry

14 pages

Scientific 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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