I need to use curved arrows instead of linear ones. So instead of
$$A\stackrel{x}\longrightarrow B \stackrel{y}\longrightarrow C$$
I might want to input something like
$$A\myarrow{x} B \myarrow{y}C$$
to produce something roughly similar to this (hand-drawn in inkscape):

Is this even possible without converting my whole diagram into a Tikz drawing?

$$is used in TeX, in LaTeX is used\[and\]instead. – Zarko Aug 25 '20 at 07:49