Open Access
July, 2000 Higher Type Adjunction Inequalities in Seiberg-Witten Theory
Peter Ozsváth, Zoltán Szabó
J. Differential Geom. 55(3): 385-440 (July, 2000). DOI: 10.4310/jdg/1090341259


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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Peter Ozsváth. Zoltán Szabó. "Higher Type Adjunction Inequalities in Seiberg-Witten Theory." J. Differential Geom. 55 (3) 385 - 440, July, 2000.


Published: July, 2000
First available in Project Euclid: 20 July 2004

zbMATH: 1028.57031
MathSciNet: MR1863729
Digital Object Identifier: 10.4310/jdg/1090341259

Rights: Copyright © 2000 Lehigh University

Vol.55 • No. 3 • July, 2000
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