On iterated Browder-Livesay invariants

On iterated Browder-Livesay invariants

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 p...

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Veröffentlicht in:Mathematical Notes 2009-09, Vol.86 (1-2), p.196-215
Hauptverfasser: Cavicchioli, A., Muranov, Yu. V., Spaggiari, F., Hegenbarth, F.
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container_issue 1-2
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container_title Mathematical Notes
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creator Cavicchioli, A.
Muranov, Yu. V.
Spaggiari, F.
Hegenbarth, F.
description 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.
doi_str_mv 10.1134/S0001434609070232
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Mathematics and Statistics
title On iterated Browder-Livesay invariants
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