Browsing 2014 by MSC "53"
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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 $\mathbb{S}^3$. ...