79 citations · 378 across the 29 of their papers we have counts for
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math.DG2006★ 38 cited
Surgery and Harmonic Spinors
Bernd Ammann, Mattias Dahl, Emmanuel Humbert
Let M be a compact manifold with a fixed spin structure χ. The Atiyah-Singer index theorem implies that for any metric g on M the dimension of the kernel of the Dirac operator is b…
math.DG2006★ 13 cited
On the space of metrics with invertible Dirac operator
Mattias Dahl
On a compact spin manifold we study the space of Riemannian metrics for which the Dirac operator is invertible. The first main result is a surgery theorem stating that such a metri…