Cobordism of hyperframed manifolds and the stable J-homomorphism |
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| Authors: | John Ewing Larry Smith |
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| Affiliation: | (1) Department of Mathematics, Indiana University, 47401 Bloomington, Indiana, USA;(2) Present address: Math. Inst., Odense University, Niels Bohrs Allee, DK-5000 Odense, Denmark |
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| Abstract: | This paper considers the cobordism groups of hyperframed manifolds; that is, manifolds which are framed off a codimension one submanifold. These groups are related to thestable J-homomorphism in the same way that the cobordism groups of almost parallelizable manifolds are related to the J-homomorphism. We compute characteristic numbers and present some low dimensional examples.Research partially supported by NSF Grant MCS76–06973Research partially supported by NSF Grant MPS74–22738 |
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