Geodesic
On Iterated Browder--Livesay Invariants
Matematičeskie zametki, Tome 86 (2009) no. 2, pp. 213-236.

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The Browder–Livesay invariants provide obstructions to the realization of elements of Wall groups by normal maps of closed manifolds. A generalization of the iterated Browder–Livesay invariants is proposed and properties of the invariants obtained are described. The generalized definition makes it possible to investigate the relationship between a normal map and its restriction to a submanifold and clarifies the relationship between the Browder–Livesay invariants and the Browder–Quinn groups of obstructions to surgery on filtered manifolds. Several theorems describing a relationship between a normal map and its restriction to a submanifold are proved.
Keywords: Browder–Livesay invariant, cobordism, Wall exact sequence, surgery on filtered manifolds, Browder–Livesay filtration, Browder–Quinn obstruction groups. 
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A. Cavicchioli; Yu. V. Muranov; F. Spaggiari; F. Hegenbarth. On Iterated Browder--Livesay Invariants. Matematičeskie zametki, Tome 86 (2009) no. 2, pp. 213-236. http://geodesic.mathdoc.fr/item/MZM_2009_86_2_a6/

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