$Z_2^2$-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.References
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Additional Information
- Pedro L. Q. Pergher
- Affiliation: Departamento de Matemática, Universidade Federal de São Carlos, Caixa Postal 676, São Carlos, SP 13565-905, Brazil
- Email: pergher@dm.ufscar.br
- Received by editor(s): September 1, 2006
- Received by editor(s) in revised form: November 20, 2006
- Published electronically: December 21, 2007
- Additional Notes: The author was partially supported by CNPq and FAPESP
- Communicated by: Paul Goerss
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 1855-1860
- MSC (2000): Primary 57R85; Secondary 57R75
- DOI: https://doi.org/10.1090/S0002-9939-07-09021-1
- MathSciNet review: 2373617