A property of certain functions f(z) of a complex variable. Usually attributive.
Monodromy is the property of a function f(z) defined in some domain S, that if it is analytically continued along any paths in a larger domain D (containing S) that begin and end at a point p in S, then its values f(z) return to the value f(p)..
Origin
Late 19th century; earliest use found in American Journal of Mathematics. From monodrome + -y.