On symplectic fillings
نویسنده
چکیده
In this note we make several observations concerning symplectic fillings. In particular we show that a (strongly or weakly) semi-fillable contact structure is fillable and any filling embeds as a symplectic domain in a closed symplectic manifold. We also relate properties of the open book decomposition of a contact manifold to its possible fillings. These results are also useful in showing the contact Heegaard Floer invariant of a fillable contact structure does not vanish [28] and property P for knots [18]. AMS Classification 53D05, 53D10; 57M50
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تاریخ انتشار 2003