The cobordism of involutions on orientable manifolds

Rowlett, R. J.

doi:10.1090/S0002-9939-1973-0324716-4

The cobordism of involutions on orientable manifolds
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Proc. Amer. Math. Soc. 40 (1973), 309-314 Request permission

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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