  Holonomic quantum computation makes use of non-abelian geometric phases,
associated to the evolution of a subspace of quantum states, to encode logical
gates. We identify a special class of subspaces, for which a sequence of
rotations results in a non-abelian holonomy of a topological nature, so that it
is invariant under any $SO(3)$-perturbation. Making use of a Majorana-like
stellar representation for subspaces, we give explicit examples of
topological-holonomic (or toponomic) NOT and CNOT gates.
