Real equivariant bordism and stable transversality obstructions for $\mathbb {Z}/2$
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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.References
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Additional Information
- Dev Sinha
- Affiliation: Department of Mathematics, Brown University, Providence, Rhode Island 02906
- MR Author ID: 681577
- Email: dps@math.brown.edu
- Received by editor(s): May 19, 2000
- Published electronically: July 25, 2001
- Communicated by: Ralph Cohen
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 271-281
- MSC (2000): Primary 57R85
- DOI: https://doi.org/10.1090/S0002-9939-01-06381-X
- MathSciNet review: 1855646