Metrics with few harmonic spinors
by
Bernd Ammann, (with Mattias Dahl and Emmanuel Humbert)
Metrics with few harmonic spinors
(.dvi, .ps,.ps.gz or .pdf)
Math. Forsch. Oberwolfach Report No. 53 (2006), 3144-3146
This paper is a summary of a conference talk in Oberwolfach.
Let M be a compact manifold with a fixed spin structure χ. The Atiyah-Singer index theorem implies that for any Riemannian metric on M the dimension of the kernel of the Dirac operator is bounded from below by a topological quantity depending only on M and χ. The main result of the talk is that for generic metrics on M this bound is attained.
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The Paper was written on 12.12.2006
Last update 12.12.2006