  We prove that the generalized symplectic capacities recognize objects in
symplectic categories whose objects are of the form $(M, \omega)$, such that
$M$ is a compact and 1-connected manifold, $\omega$ is an exact symplectic form
on $M$, and there exists a boundary component of $M$ with negative helicity.
The set of generalized symplectic capacities is thus a complete invariant for
such categories. This answers a question by Cieliebak, Hofer, Latschev, and
Schlenk. It appears to be the first result concerning this question, except for
recognition results for manifolds of dimension 2, ellipsoids, and polydiscs in
$\mathbb{R}^4$. Strikingly, our result holds more generally for differential
form categories. Recognition of objects is therefore not a symplectic
phenomenon.
  We also prove a version of the result for normalized capacities.
