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math.DG2000
On Embedding Circle-Bundles in Four-Manifolds
Peter Ozsvath, Zoltan Szabo
We demonstrate an obstruction to finding certain splittings of four-manifolds along sufficiently twisted circle bundles over Riemann surfaces, arising from Seiberg-Witten theory. T…
math.DG2000
Higher Type Adjunction Inequalities in Seiberg-Witten Theory
Peter Ozsvath, Zoltan Szabo
In this paper, we derive new adjunction inequalities for embedded surfaces with non-negative self-intersection number in four-manifolds. These formulas are proved by using relation…