### Abstract

In the following we show that a Stein filling S of the 3-torus T ^{3} is homeomorphic to D^{2} x T^{2}. 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 b_{1}(S) = 0 and Q_{s} = 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 language | English |
---|---|

Pages (from-to) | 115-130 |

Number of pages | 16 |

Journal | Turkish Journal of Mathematics |

Volume | 26 |

Issue number | 1 |

Publication status | Published - 2002 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Turkish Journal of Mathematics*,

*26*(1), 115-130.

**Gauge theory and Stein fillings of certain 3-manifolds.** / Stipsicz, A.

Research output: Contribution to journal › Article

*Turkish Journal of Mathematics*, vol. 26, no. 1, pp. 115-130.

}

TY - JOUR

T1 - Gauge theory and Stein fillings of certain 3-manifolds

AU - Stipsicz, A.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0242673519&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242673519&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0242673519

VL - 26

SP - 115

EP - 130

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

SN - 1300-0098

IS - 1

ER -