  We construct generalized symmetries for linearized Einstein gravity in
arbitrary dimensions. First-principle considerations in QFT force generalized
symmetries to appear in dual pairs. Verifying this prediction helps us find the
full set of non-trivial conserved charges -- associated, in equal parts, with
2-form and $(D-2)$-form currents. Their total number is $D(D+1)$. We compute
the quantum commutators of pairs of dual charges, showing that they are
non-vanishing for regions whose boundaries are non-trivially linked with each
other and zero otherwise, as expected on general grounds. We also consider
general linearized higher-curvature gravities. These propagate, in addition to
the usual graviton, a spin-0 mode as well as a massive ghost-like spin-2 one.
When the latter is absent, the theory is unitary and the dual-pairs principle
is respected. In particular, we find that the number and types of charges
remain the same as for Einstein gravity, and that they correspond to continuous
generalizations of the Einsteinian ones.
