Counting fixed points

Rosenholtz, Ira

doi:10.1090/S0002-9939-1982-0667303-6

Counting fixed points
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Proc. Amer. Math. Soc. 86 (1982), 341-344 Request permission

Abstract:

In this paper, we develop a machine which enables us to predict, in many cases, the exact number of fixed points of a local diffeomorphism. Though much more general, our technique applies in particular to locally expansive maps on compact, connected, orientable differentiable manifolds.

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