, Volume 75, Issue 1, pp 91-116
Date: 14 Nov 2007

Aspects of Dirac Operators in Analysis

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Abstract.

We give a review of the analysis behind several examples of Dirac-type operators over manifolds arising in Clifford analysis. These include the Atiyah-Singer-Dirac operator acting on sections of a spin bundle over a spin manifold. It also includes several Dirac operators arising over conformally flat spin manifolds including hyperbolic space. Links to classical harmonic analysis are pointed out.

Lecture held by John Ryan in the Seminario Matematico e Fisico on February 20, 2006
Received: June 2007