nLab Hirzebruch-Riemann-Roch theorem



The Hirzebruch-Riemann-Roch theorem identifies for a holomorphic vector bundle EE the alternating sum of its abelian sheaf cohomology groups (hence for trivial bundle the index of the Dolbeault operator) with the Chern character of the bundle cupped with the Todd class of the underlying complex manifold.


Created on March 21, 2014 at 08:16:03. See the history of this page for a list of all contributions to it.