Invariance Theory
Gilkey, Peter B.![Invariance Theory](https://support.digitalhusky.com/media/annotations/sorted/230/23091965/CHSBZCOP0323091965.jpg)
Treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. This work also uses heat equation methods to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary.