  We reveal a topological burning glass effect, where the local response of a
system exhibits a topological quantization that is enhanced by an integer due
to its environmental coupling. As a paradigmatic platform for this intriguing
phenomenon, we study a central spin that is quasiperiodically driven by two
incommensurate frequencies, and statically coupled to $N-1$ surrounding spins.
In the strong coupling regime, the adiabatic dynamics of the total system is
readily understood to imprint on the central spin an $N$-fold enhanced
topological frequency conversion between the two driving frequencies. We argue
that the topological burning glass effect is induced by the non-unitary
dynamics of the central spin, which locally involves the collective motion of
the surrounding spins. Our results are derived in the framework of adiabatic
perturbation theory and fully corroborated by exact numerical simulations.
