Now showing items 1-2 of 2

• #### An Explicit Formula for the Dirac Multiplicities on Lens Spaces ﻿

[OWP-2014-19] (Mathematisches Forschungsinstitut Oberwolfach, 2014)
We present a new description of the spectrum of the (spin-) Dirac operator $D$ on lens spaces. Viewing a spin lens space $L$ as a locally symmetric space $\Gamma \setminus Spin(2m)/Spin(2m-1)$ and exploiting the representation ...
• #### Generalized Killing spinors and Lagrangian graphs ﻿

[OWP-2014-11] (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
We study generalized Killing spinors on the standard sphere $\mathbb{S}^3$, which turn out to be related to Lagrangian embeddings in the nearly Kähler manifold $S^3 \times S^3$ and to great circle flows on $\mathbb{S}^3$. ...