Hirzebruch–Riemann–Roch theorem
= Hirzebruch–Riemann–Roch theorem
{wiki=Hirzebruch–Riemann–Roch_theorem}
The Hirzebruch–Riemann–Roch theorem is a fundamental result in algebraic geometry and mathematical analysis that generalizes classical results from algebraic geometry and provides a powerful tool for computing topological invariants of complex manifolds. It connects the geometry of a manifold to its topology through characteristic classes.