nLab Hirzebruch-Riemann-Roch theorem

Contents

Contents

Idea

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.

References

Last revised on November 1, 2023 at 13:54:41. See the history of this page for a list of all contributions to it.