Two Commuting Involutions Fixing RP ₁(2m + 1) ∪ RP ₂(2m + 1)

Abstract

Let Z ₂ denote a cyclic group of 2 order and Z ₂ ² = Z ₂ × Z ₂ the direct product of groups. Suppose that (M, Φ) is a closed and smooth manifold M with a smooth Z ₂ ²-action whose fixed point set is the disjoint union of two real projective spaces with the same dimension. In this paper, the authors give a sufficient condition on the fixed data of the action for (M, Φ) bounding equivariantly.

Keywords

2 ²-action')">Z ₂ ²-action / Fixed data / Characteristic number / Simultaneous bordism / Stiefel-Whitney class

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