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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 <math>\mathcal{D}_X</math>-scheme (i.e., the space of global solutions of a system of non-linear differential equations)."


Lurie's '''topological chiral homology''' gives a generalization.<ref>
{{nlab|id=On+the+Classification+of+Topological+Field+Theories|title=outline of "On the Classification of Topological Field Theories"}}</ref>


== References ==
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{{reflist}}
*Ch. 4 of Beilinson−Drinfeld, Chiral algebras
 
== See also ==
*[[Ran space]]
 
[[Category:Homological algebra]]

Latest revision as of 09:06, 10 May 2014


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