𝑍₂²-actions with 𝑛-dimensional fixed point set

Pergher, Pedro

doi:10.1090/S0002-9939-07-09021-1

$Z_2^2$-actions with $n$-dimensional fixed point set
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by Pedro L. Q. Pergher PDF

Proc. Amer. Math. Soc. 136 (2008), 1855-1860 Request permission

Abstract:

We describe the equivariant cobordism classification of smooth actions $(M^m,\Phi )$ of the group $G=Z_2^2$, considered as the group generated by two commuting involutions, on closed smooth $m$-dimensional manifolds $M^m$, for which the fixed point set of the action is a connected manifold of dimension $n$ and $m=4n-1$ or $4n-2$. For $m \ge 4n$, the classification is known.

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