Contact Ozsvath-Szabo Invariants and Giroux Torsion

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In this paper we prove a vanishing theorem for the contact Ozsvath--Szabo invariants of certain contact 3--manifolds having positive Giroux torsion. We use this result to establish similar vanishing results for contact structures with underlying 3--manifolds admitting either a torus fibration over the circle or a Seifert fibration over an orientable base. We also show -- using standard techniques from contact topology -- that if a contact 3--manifold (Y,ξ) has positive Giroux torsion then there exists a Stein cobordism from (Y,ξ) to a contact 3--manifold (Y,ξ') such that (Y,ξ) is obtained from (Y,ξ') by a Lutz modification.
22 pages, 5 figures; rephrased abstract and introduction

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Symplectic Geometry, Geometric Topology, 57R17; 57R57

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http://salesiana.dossiersoluciones.com/handle/123456789/111537

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604268
 http://arxiv.org/abs/math/0604268

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arXiv