  Theoretically it has been known that breaking spin-degeneracy and effectively
realizing 'spinless fermions' is a promising path to topological
superconductors. Yet, topological superconductors are rare to date. Here, we
propose to realize spinless fermions by splitting the spin-degeneracy in
momentum space. Specifically, we identify monolayer hole-doped transition metal
dichalcogenide (TMD)s as candidates for topological superconductors out of such
momentum-space-split spinless fermions. Although electron-doped TMDs have
recently been found superconducting, the observed superconductivity is unlikely
topological due to the near spin-degeneracy. Meanwhile, hole-doped TMDs with
momentum-space-split spinless fermions remain unexplored. Employing a
renormalization group analysis, we propose that the unusual spin-valley locking
in hole-doped TMDs together with repulsive interactions selectively favors two
topological superconducting states: inter-pocket paired state with Chern number
2 and intra-pocket paired state with finite pair-momentum. A confirmation of
our predictions will open up possibilities for manipulating topological
superconductors on the device friendly platform of monolayer TMDs.
