Ellipsoid embeddings and symplectic packing stability
نویسندگان
چکیده
منابع مشابه
Packing stability for irrational symplectic 4-manifolds
The packing stability in symplectic geometry was first noticed by Biran [Bir97]: the symplectic obstructions to embed several balls into a manifold disappear when their size is small enough. This phenomenon is known to hold for all closed manifolds with rational symplectic class (see [Bir99] for the 4-dimensional case, and [BH11, BH13] for higher dimensions), as well as ellipsoids [BH13]. In th...
متن کاملSymplectic embeddings of polydisks
If P is a polydisk with radii R1 ≤ ... ≤ Rn and P ′ is a polydisk with radii R 1 ≤ ... ≤ R n , then we prove that P symplectically embeds in P ′ provided that C(n)R1 ≤ R′1 and C(n)R1...Rn ≤ R ′ 1 ...R n . Up to a constant factor, these conditions are optimal.
متن کاملToric symplectic ball packing
We define and solve the toric version of the symplectic ball packing problem, in the sense of listing all 2n-dimensional symplectic–toric manifolds which admit a perfect packing by balls embedded in a symplectic and torus equivariant fashion. In order to do this we first describe a problem in geometric–combinatorics which is equivalent to the toric symplectic ball packing problem. Then we solve...
متن کاملSharp Symplectic Embeddings of Cylinders
We show that the cylinder Z(1) := B(1) × R2(n−1) embeds symplectically into B(R)× R2(n−2) if R > √ 3.
متن کاملNew obstructions to symplectic embeddings
In this paper we establish new restrictions on symplectic embeddings of certain convex domains into symplectic vector spaces. These restrictions are stronger than those implied by the Ekeland-Hofer capacities. By refining an embedding technique due to Guth, we also show that they are sharp.
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: Compositio Mathematica
سال: 2013
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x12000826