  We explain how to perform topological twisting of supersymmetric field
theories in the language of factorization algebras. Namely, given a
supersymmetric factorization algebra with a choice of a topological supercharge
we construct an algebra over the operad of little disks. We also explain the
role of the twisting homomorphism allowing us to construct an algebra over the
operad of framed little disks. Finally, we give a complete classification of
topological supercharges and twisting homomorphisms in dimensions $1$ through
$10$.
