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Higher type adjunction inequalities for Donaldson invariants.

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Muñoz, Vicente (2001) Higher type adjunction inequalities for Donaldson invariants. Transactions of the American Mathematical Society, 353 (7). pp. 2635-2654. ISSN 0002-9947

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Official URL: http://www.ams.org/journals/tran/2001-353-07/S0002-9947-01-02793-3/S0002-9947-01-02793-3.pdf


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:4-manifolds; Adjunction inequalities; Donaldson invariants; Fukaya-Floer homology
Subjects:Sciences > Mathematics > Topology
ID Code:21281
Deposited On:10 May 2013 10:55
Last Modified:12 Dec 2018 15:13

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