Geodesic
The L-Theory of Twisted Quadratic Extensions
Canadian journal of mathematics, Tome 39 (1987) no. 2, pp. 345-364

Voir la notice de l'article provenant de la source Cambridge University Press

For surgery on codimension 1 submanifolds with non-trivial normal bundle the theory of Wall [13, Section 12C] has obstruction groups LN∗(π′ → π), with π a group and π′ a subgroup of index 2, such that there is defined an exact sequence involving the ordinary L-groups of rings with involution with the superscript w signifying a different involution on Z[π]. Geometry was used in [13] to identify with (α, u) an antistructure on Z[π′] in the sense of Wall [14]. The main result of this paper is a purely algebraic version of this identification, for any twisted quadratic extension of a ring with antistructure. 
Ranicki, Andrew. The L-Theory of Twisted Quadratic Extensions. Canadian journal of mathematics, Tome 39 (1987) no. 2, pp. 345-364. doi: 10.4153/CJM-1987-017-x
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