Real equivariant bordism and stable transversality obstructions for ℤ/2

Sinha, Dev

doi:10.1090/S0002-9939-01-06381-X

Real equivariant bordism and stable transversality obstructions for $\mathbb {Z}/2$
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Proc. Amer. Math. Soc. 130 (2002), 271-281 Request permission

Abstract:

In this paper we compute homotopical equivariant bordism for the group ${\mathbb {Z}}/2$, namely $MO_*^{{\mathbb {Z}/2}}$, geometric equivariant bordism ${\mathfrak {N}}^{{\mathbb {Z}/2}}_*$, and their quotient as modules over geometric bordism. This quotient is a module of stable transversality obstructions. We construct these rings from knowledge of their localizations.

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