Publication: Higher type adjunction inequalities for Donaldson invariants.
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Publication Date
2001
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American Mathematical Society
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We prove new adjunction inequalities for embedded surfaces in four-manifolds with non-negative self-intersection number using the Donaldson invariants. These formulas are completely analogous to the ones obtained by Ozsvath and Szabo using the Seiberg-Witten invariants. To prove these
relations, we give a fairly explicit description of the structure of the Fukaya-Floer homology of a surface times a circle. As an aside, we also relate the Floer homology of a surface times a circle with the cohomology of some symmetric
products of the surface.
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