Normalized symplectic capacity (source code)

= Normalized symplectic capacity
{title2=$c(B^{2n}(1))=c(Z^{2n}(1))=\pi$}

A normalized <symplectic capacity> has the displayed unit-ball and unit-cylinder values. Dilation gives $\pi R^2$ for both radius-$R$ domains. Monotonicity then implies the sharp <Gromov non-squeezing theorem>.