Mathematics – Differential Geometry
Scientific paper
2006-06-09
Adv. Math. 220 (2009), no. 2, 523-539
Mathematics
Differential Geometry
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Scientific paper
10.1016/j.aim.2008.09.013
Let M be a compact manifold with a fixed spin structure \chi. The
Atiyah-Singer index theorem implies that for any metric g on M the dimension of
the kernel of the Dirac operator is bounded from below by a topological
quantity depending only on M and \chi. We show that for generic metrics on M
this bound is attained.
Ammann Bernd
Dahl Mattias
Humbert Emmanuel
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