Geodesic
Bordism groups of Poincare $E_\infty$-coalgebras and symmetric $L$-groups
Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 1023-1055 
S. V. Lapin. Bordism groups of Poincare $E_\infty$-coalgebras and symmetric $L$-groups. Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 1023-1055. http://geodesic.mathdoc.fr/item/SM_1995_186_7_a6/
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     title = {Bordism groups of {Poincare} $E_\infty$-coalgebras and symmetric $L$-groups},
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     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_7_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A Poincare $E_\infty$-coalgebra construction over involutive algebras is introduced in this paper. Various types of bordism between Poincare $E_\infty$-coalgebras are defined and the relations between the corresponding bordism groups are studied. It is shown in particular that the Thom bordism groups of closed non-oriented smooth manifolds and the rational Wall groups of a unitary group have a common algebraic origin, that is, they are obtained by the same construction considered over the fields $\mathbb Z/2$ and $\mathbb Q$, respectively.

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