Tight contact structures of certain Seifert fibered 3-manifolds with e(0)=-1

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We classify, up to contact isotopy, all tight contact structures on a family of Seifert fibered three-manifolds M(-1/2, 1/3, beta/alpha) satisfying 0 < beta/alpha < 1/6. We show that, if [r(0), r(1),..., r(l)] is the continued fraction expansion of -alpha/beta, there are exactly |r(0)+ 5| |r(1)+ 1| center dot center dot center dot | r(l)+ 1| tight contact structures on such Seifert fibered three-manifolds M -1/2, 1/3, beta/alpha) as above, so all the tight contact structures are holomorphically fillable.
Publisher
PACIFIC JOURNAL MATHEMATICS
Issue Date
2005-09
Language
English
Article Type
Article
Keywords

SURFACES

Citation

PACIFIC JOURNAL OF MATHEMATICS, v.221, pp.109 - 122

ISSN
0030-8730
URI
http://hdl.handle.net/10203/86862
Appears in Collection
MA-Journal Papers(저널논문)
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