Higher Type Adjunction Inequalities in Seiberg-Witten Theory

Details Higher Type Adjunction Inequalities in Seiberg-Witten Theory Higher Type Adjunction Inequalities in Seiberg-Witten Theory

2000-05-27

arxiv.org/abs/math/0005268v1

Mathematics

Differential Geometry

50 pages, Submitted for publication

Scientific paper

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 relations between Seiberg-Witten invariants which are induced from embedded surfaces. To prove these relations, we develop the relevant parts of a Floer theory for four-manifolds which bound circle-bundles over Riemann surfaces.

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