# Chiral homology

In mathematics, chiral homology was introduced by Beilinson−Drinfeld. In their words, "Chiral homology is a “quantum” version of (the algebra of functions on) the space of global horizontal sections of an affine ${\displaystyle {\mathcal {D}}_{X}}$-scheme (i.e., the space of global solutions of a system of non-linear differential equations)."