Spin geometry and index theorems

Lawson & Michelson: "Spin Geometry", Princeton U.P., 1990

Bourguignon et al, A spinorial approach to Riemannian and conformal geometry

Rosen, Geometric multivector analysis: from Grassmann to Dirac

Freed, The Atiyah-Singer index theorem

Rosenberg, The Laplacian on a Riemannian manifold

Gilkey, Invariance theory, the heat equation and the Atiyah-Singer index theorem, 2nd edition

Shanahan, The Atiyah-Singer index theorem: an introduction

Beline, Getzler & Vergne, Heat kernels and Dirac operators

Boos, Bleecher & Mader, Topology and analysis: The Atiyah Singer index formula and gauge-theoretic physics

Esposito, Dirac operators and spectral geometry