Surgery and Harmonic Spinors
Differential Geometry
2011-07-21 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0606224,
title = {Surgery and Harmonic Spinors},
author = {Bernd Ammann and Mattias Dahl and Emmanuel Humbert},
journal= {arXiv preprint arXiv:math/0606224},
year = {2011}
}
Comments
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