# nLab Lichnerowicz formula

Contents

spin geometry

string geometry

## Ninebrane geometry

#### Index theory

index theory, KK-theory

noncommutative stable homotopy theory

partition function

genus, orientation in generalized cohomology

## Definitions

operator K-theory

K-homology

# Contents

## Idea

An explicit expression in analysis for the square of a Dirac operator on a Riemannian manifold.

The crucial point of the formula is that it shows a scalar summand (i.e. 0th order derivative) proportional to the scalar curvature.

## References

Created on March 11, 2014 at 09:12:19. See the history of this page for a list of all contributions to it.