WeprovethatSteinsurfaceswithboundarycoincideuptoorien- tation preserving diffeomorphisms with simple branched coverings of B4 whose branch set is a positive braided surface. As a consequence, we have that a smooth oriented 3-manifold is Stein fillable iff it has a positive open- book decomposition.
Compact Stein surfaces with boundary as branched covers of B^4
LOI, ANDREA;
2001-01-01
Abstract
WeprovethatSteinsurfaceswithboundarycoincideuptoorien- tation preserving diffeomorphisms with simple branched coverings of B4 whose branch set is a positive braided surface. As a consequence, we have that a smooth oriented 3-manifold is Stein fillable iff it has a positive open- book decomposition.
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