Gauge theory and Stein fillings of certain 3-manifolds

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Abstract

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.

Original languageEnglish
Pages (from-to)115-130
Number of pages16
JournalTurkish Journal of Mathematics
Volume26
Issue number1
StatePublished - 2002

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Seiberg-Witten invariants
Homology spheres
Homeomorphic
Gauge theory
Poincaré
Torus
Gauge
Theorem

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Gauge theory and Stein fillings of certain 3-manifolds. / Stipsicz, András I.

In: Turkish Journal of Mathematics, Vol. 26, No. 1, 2002, p. 115-130.

Research output: Contribution to journalArticle

Stipsicz, András I. / Gauge theory and Stein fillings of certain 3-manifolds.

In: Turkish Journal of Mathematics, Vol. 26, No. 1, 2002, p. 115-130.

Research output: Contribution to journalArticle

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