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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



The cobordism of involutions on orientable manifolds

Author: R. J. Rowlett
Journal: Proc. Amer. Math. Soc. 40 (1973), 309-314
MSC: Primary 57D85
MathSciNet review: 0324716
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Abstract: This note calculates the cobordism of smooth, oriented manifolds with orientation-reversing involution, and also the $ 2$-torsion in the cobordism of such manifolds with orientation-preserving involution. In particular, it is shown that the forgetful homomorphism maps both groups monomorphically into the cobordism of unoriented manifolds with involution.

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Keywords: Equivariant cobordism, orientation-preserving involution, orientation-reversing involution, Wall manifold
Article copyright: © Copyright 1973 American Mathematical Society

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