Symplectic capacity
= Symplectic capacity
{title2=$c(X,\omega)$}
A symplectic capacity is monotone under <symplectic embeddings>, scales by $c(X,a\omega)=a\,c(X,\omega)$ for $a>0$, and has positive unit-ball capacity and finite unit-cylinder capacity. It is invariant under <symplectomorphisms>. A <normalized symplectic capacity> additionally assigns $\pi$ to both unit domains.