  We examine the double copy structure of anyons in gauge theory and gravity.
Using on-shell amplitude techniques, we construct little group covariant
spinor-helicity variables describing massive particles with spin, which
together with locality and unitarity enables us to derive the long-range
tree-level scattering amplitudes involving anyons. We discover that classical
gauge theory anyon solutions double copy to their gravitational counterparts in
a non-trivial manner. Interestingly, we show that the massless double copy
captures the topological structure of curved spacetime in three dimensions by
introducing a non-trivial mixing of the topological graviton and the dilaton.
Finally, we show that the celebrated Aharonov-Bohm phase can be derived
directly from the constructed on-shell amplitude and that it too enjoys a
simple double copy to its gravitational counterpart.
