For $(X,g)$ a Riemannian manifold, the exterior differential is a differential operator on (sections of the) exterior bundle. With respect to the induced inner product write $d^\ast$ for its adjoint operator. The *Kähler-Dirac operator* is $d + d^\ast$.

The Kähler-Dirac operator defines a canonical K-homology class on $X$.

Last revised on July 12, 2013 at 17:45:16. See the history of this page for a list of all contributions to it.