Tight contact structures on some small Seifert fibered 3--manifolds

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dc.creatorGhiggini, Paolo
dc.creatorLisca, Paolo
dc.creatorStipsicz, Andras I.
dc.date2005-09-30
dc.date.accessioned2026-07-07T06:19:55Z
dc.date.available2026-07-07T06:19:55Z
dc.descriptionWe classify tight contact structures on the small Seifert fibered 3--manifold M(-1; r_1, r_2, r_3) with r_i in (0,1) and r_1, r_2 \geq 1/2. The result is obtained by combining convex surface theory with computations of contact Ozsvath--Szabo invariants. We also show that some of the tight contact structures on the manifolds considered are nonfillable, justifying the use of Heegaard Floer theory.
dc.description38 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0509714
dc.identifierhttp://arxiv.org/abs/math/0509714
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95191
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.titleTight contact structures on some small Seifert fibered 3--manifolds
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