Exactly fillable contact structures without Stein fillings
نویسندگان
چکیده
منابع مشابه
Strongly fillable contact 3–manifolds without Stein fillings
We use the Ozsváth–Szabó contact invariant to produce examples of strongly symplectically fillable contact 3–manifolds which are not Stein fillable. AMS Classification numbers Primary: 57R17 Secondary: 57R57
متن کاملA Class of Non-fillable Contact Structures
In [Kl06] a geometric obstruction, the so called ”plastikstufe”, for a contact structure to not being fillable has been found. This generalizes somehow the concept of overtwisted structure to dimensions higher than 3. This paper elaborates on the theory showing a big number of closed contact manifolds with a ”plastikstufe”. This implies that all of them are non-fillable. In particular we show t...
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We construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3-manifolds. Math. Res. Lett. 15 (2008), no. 6, 1127–1132 c © International Press 2008 A NOTE ON STEIN FILLINGS OF CONTACT MANIFOLDS Anar Akhmedov, John B. Etnyre, Thomas E. Mark, and Ivan Smith Abstract. In this note we construct infinitely many distinct simply connected Stein fillings...
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We exhibit tight contact structures on 3-manifolds that do not admit any symplectic fillings.
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In [4], it was shown that there exist infinitely many contact Seifert fibered 3-manifolds each of which admits infinitely many exotic (homeomorphic but pairwise non-diffeomorphic) simply-connected Stein fillings. Here we extend this result to a larger set of contact Seifert fibered 3-manifolds with many singular fibers and observe that these 3-manifolds are singularity links. In addition, we pr...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2012
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2012.12.1807