Chiral homology

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

Lurie's topological chiral homology gives a generalization.^[1]

See also

• Ran space
• Chiral Lie algebra

References

1. outline of "On the Classification of Topological Field Theories" in nLab

• Ch. 4 of Beilinson−Drinfeld, Chiral algebras, available at