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Seifert fibered contact three-manifolds via surgery | | Paolo Lisca
; Andras I. Stipsicz
; | | Date: |
25 Jul 2003 | | Journal: | Algebraic and Geometric Topology 4 (2004) 199-217 | | Subject: | Symplectic Geometry; Geometric Topology MSC-class: 57R17, 57R57 | math.SG math.GT | | Abstract: | 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. | | Source: | arXiv, math.SG/0307341 | | Services: | Forum | Review | PDF | Favorites | |
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