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arxiv: math/0307341 · v3 · pith:D4K5GZ4Mnew · submitted 2003-07-25 · 🧮 math.SG · math.GT

Seifert fibered contact three-manifolds via surgery

classification 🧮 math.SG math.GT
keywords contactfiberedseifertstructuressurgerythree-manifoldstightcarrying
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Using contact surgery we define families of contact structures on certain Seifert fibered three-manifolds. We prove that all these contact structures are tight using contact Ozsath-Szabo invariants. We use these examples to show that, given a natural number n, there exists a Seifert fibered three-manifold carrying at least n pairwise non-isomorphic tight, not fillable contact structures.

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