147 citations · 733 across the 37 of their papers we have counts for
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math.DG2002
Dirac eigenvalue estimates on surfaces
Bernd Ammann, Christian Baer
We prove lower Dirac eigenvalue bounds for closed surfaces with a spin structure whose Arf invariant equals 1. Besides the area only one geometric quantity enters in these estimate…
math.DG2002★ 34 cited
Surgery and the Spectrum of the Dirac Operator
Christian Baer, Mattias Dahl
We show that for generic Riemannian metrics on a simply-connected closed spin manifold of dimension at least 5 the dimension of the space of harmonic spinors is no larger than it m…