3 papers
math.DG2011
SpinC quantization in odd dimensions
Johannes Fabian Meier
We define and discuss an extension of the SpinC quantization concept to odd-dimensional manifolds. After that we describe its relation to (the usual) even-dimensional SpinC quantiz…
math.SP2011
Spinc Dirac operators over the flat 3-torus
Johannes Fabian Meier
The aim of this paper is to study a possible "boundary phenomenon" for Spinc Dirac operators in a special case. If you parametrise Spinc Dirac operators by a family of connections…
math.SP2011
Eigenspaces of the Spin Dirac operator over S^3
Johannes Fabian Meier
We calculate the spectrum and a basis of eigenvectors for the Spin Dirac operator over the standard 3-sphere. For the spectrum, we use the method of Hitchin which we transfer to qu…