  Chiral superconductors are one of the predominant quantum electronic states
of matter where topology, symmetry, and Fermiology intertwine. This is pushed
to a new limit by further invoking the coupling between spin and charge degrees
of freedom, which fundamentally affects the principal nature of the Cooper pair
wave function. We investigate the onset of superconductivity in the
Rashba-Hubbard model on the triangular lattice, which is symmetry-classified by
the associated irreducible representations (irrep) of the hexagonal point
group. From an instability analysis by means of the truncated-unity functional
renormalization group (TU-FRG) we find the $E_2$ irrep to dominate a large
fraction of phase space and to lead up to an energetically preferred gapped,
chiral superconducting state. The topological phase space classification
associated with the anomalous propagators obtained from TU-FRG reveals a
fragmentation of the $E_2$ domain into different topological sectors with
vastly differing Chern numbers. It hints at a potentially applicable high
sensitivity and tunability of chiral superconductors with respect to
topological edge modes and phase transitions.
