منابع مشابه
On symplectic fillings
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 ...
متن کاملSymplectic Cohomology for Stable Fillings
We discuss a generalisation of symplectic cohomology for symplectic manifolds which weakly fill their contact boundary and satisfy an additional stability condition. Furthermore, we develop a geometric setting for proving maximum principles for Floer trajectories, and prove a Moser-type result for weak fillings. This is a preliminary version of the paper.
متن کاملSimple Singularities and Symplectic Fillings
It is proved that the diffeomorphism type of the minimal symplectic fillings of the link of a simple singularity is unique. In the proof, the uniqueness of the diffeomorphism type of CP 2 \D, where D is a pseudo holomorphic rational curve with one (2, 3)cusp, is discussed.
متن کاملTight Contact Structures with No Symplectic Fillings
We exhibit tight contact structures on 3-manifolds that do not admit any symplectic fillings.
متن کاملTheta functions on covers of symplectic groups
We study the automorphic theta representation $Theta_{2n}^{(r)}$ on the $r$-fold cover of the symplectic group $Sp_{2n}$. This representation is obtained from the residues of Eisenstein series on this group. If $r$ is odd, $nle r
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2004
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2004.4.73