Gauge theory and Stein fillings of certain 3-manifolds

Authors : András I. Stipsicz

Pages : 115-130

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In the following we show that a Stein filling S of the 3-torus T3 is homeomorphic to D2 \times T2. In the proof we also show that if S is Stein and \partial S is diffeomorphic to the Seifert fibered 3-manifold -S insert ignore into journalissuearticles values(2,3,11); then b1insert ignore into journalissuearticles values(S);=0 and QS=H. Similar results are obtained for the Poincaré homology sphere \pm S insert ignore into journalissuearticles values(2,3,5);; in studying these fillings we apply recent gauge theoretic results, and prove our theorems by determining certain Seiberg-Witten invariants.
Keywords : Turk J Math, 26, 2002, , 115 130 Turk J Math, vol 26, iss 1