Master's Thesis presentation, Markus Klyver

Abstract: This thesis consists of two parts, a survey and a brief introduction to spin geometry, followed by kernel computations of Clifford connections. The thesis considers Dirac operators on manifolds -- in particular the sphere and 2-torus. We lay out the basics of the theory of Spin, the subgroups of Clifford algebras and their representations. The particular representations of interest to us are used to define Clifford multiplication. We finish with explicit calculations of the kernels of Clifford connections. The main focus for these calculations will be the sphere and 2-torus.

​​Examiner: Andreas Rosen
Supervisor​: Genkai Zhang