Index Theory and Quaternionic K\"ahler Manifolds

S.M. Salamon

Abstract. Index theorems are discussed and applied to coupled Dirac
operators in a quaternionic setting.

Keywords. Spin representation, Dirac operator, Chern character, K\"ahler
manifold, quaternionic K\"ahler exterior power, Betti number.

Classification. 53C25; 19L10, 58G10.