Deformations of group actions

Edmonds, Allan L.

doi:10.1090/S0002-9947-1975-0362321-0

Deformations of group actions
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by Allan L. Edmonds

Trans. Amer. Math. Soc. 201 (1975), 147-160

DOI: https://doi.org/10.1090/S0002-9947-1975-0362321-0

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Abstract:

Let $G$ be a finite group and $M$ be a compact piecewise linear (PL) manifold. Define a PL $G$-isotopy to be a level-preserving PL action of $G$ on $M \times [0,1]$. In this paper PL $G$-isotopies are studied and PL $G$-isotopic actions (which need not be equivalent) are characterized.

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