Geodesic
The Groups $LS$ and Morphisms of Quadratic Extensions
Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 419-424.

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For a morphism of quadratic extensions of antistructures, groups similar to the groups of obstructions to splitting along one-sided submanifolds are defined. These groups are a natural generalization of the splitting obstruction groups. The results obtained open additional possibilities for constructing groups and natural maps in $L$-theory. 
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Yu. V. Muranov; D. Repovš. The Groups $LS$ and Morphisms of Quadratic Extensions. Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 419-424. http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a8/

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