Surgery and Harmonic Spinors

Details Surgery and Harmonic Spinors Surgery and Harmonic Spinors

2006-06-09

arxiv.org/abs/math/0606224v1

Adv. Math. 220 (2009), no. 2, 523-539

Mathematics

Differential Geometry

Contains .eps figure. To produce pdf you can use ps2pdf to transform file.ps into file.pdf

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.

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