In the following we show that a Stein filling S of the 3-torus T 3 is homeomorphic to D2 x T2. In the proof we also show that if S is Stein and ∂S is diffeomorphic to the Seifert fibered 3-manifold -;∑(2,3,11) then b1(S) = 0 and Qs = H. Similar results are obtained for the Poincaré homology sphere ±∑(2,3,5); in studying these fillings we apply recent gauge theoretic results, and prove our theorems by determining certain Seiberg-Witten invariants.
|Number of pages||16|
|Journal||Turkish Journal of Mathematics|
|Publication status||Published - Dec 1 2002|
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