  The ferromagnetic metal-superconductor heterostructure with interface Rashba
spin-orbit hopping is a promising candidate for topological superconductivity.
We study the interplay between the interface Rashba hopping and the intrinsic
Dresselhaus spin-orbit coupling in this heterostructure, and demonstrate rich
topological phases with five distinct Chern numbers. In particular, we find a
topological state with a Chern number as large as four in the parameter space
of the heterostructure. We calculate the Berry curvatures that construct the
Chern numbers, and show that these Berry curvatures induce anomalous thermal
Hall transport of the superconducting quasiparticles. We reveal chiral edge
states in the topological phases, as well as helical edge states in the trivial
phase, and show that the wave functions of these edge states mostly concentrate
on the ferrometal layer of the heterostructure.
