论文标题
四维多核的符号嵌入到一半整数椭圆形中
Symplectic embeddings of four-dimensional polydisks into half integer ellipsoids
论文作者
论文摘要
当$ 1 \ le a <2 $ <2 $和$ b $是一个半含量时，我们将四维polydisks $ p（a，1）$ p（a，1）$ p（a，1）$ p（a，1）$ p（a，1）$ p（BC，c）$ p（BC，c）$ p（$ l a <2 $和$ b $是一个半含量）中获得新的尖锐障碍物。当$ 1 \ leq a <2-o（b^{ - 1}）$时，我们证明$ p（a，1）$ sympletecteptection将$ e（bc，c）$ ife if ife and if and of $ a+a+a+a+a+b \ le bc $。我们的结果表明，当包含是最佳的，并通过hutchings \ cite {h}扩展结果，当$ b $是整数时。我们的证明是基于Hutchings \ cite {H}开发的组合标准来阻断符号嵌入的。
We obtain new sharp obstructions to symplectic embeddings of four-dimensional polydisks $P(a,1)$ into four-dimensional ellipsoids $E(bc,c)$ when $1\le a< 2$ and $b$ is a half-integer. When $1 \leq a < 2-O(b^{-1})$ we demonstrate that $P(a,1)$ symplectically embeds into $E(bc,c)$ if and only if $a+b\le bc$. Our results show that inclusion is optimal and extend the result by Hutchings \cite{H} when $b$ is an integer. Our proof is based on a combinatorial criterion developed by Hutchings \cite{H} to obstruct symplectic embeddings.
