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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     author = {A. Cavicchioli and Yu. V. Muranov and F. Spaggiari and F. Hegenbarth},
     title = {On {Iterated} {Browder--Livesay} {Invariants}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {213--236},
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     number = {2},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_2_a6/}
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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/