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Mat. Zametki, 2009, Volume 86, Issue 2, Pages 213–236 (Mi mz8475)  

On Iterated Browder–Livesay Invariants

A. Cavicchiolia, Yu. V. Muranovbc, F. Spaggiaria, F. Hegenbarthd

a University of Modena and Reggio Emilia
b Institute for New Technology in Education
c Universidad Tecnológica de la Mixteca
d University of Milan

Abstract: 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

DOI: https://doi.org/10.4213/mzm8475

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English version:
Mathematical Notes, 2009, 86:2, 196–215

Bibliographic databases:

UDC: 515.163+515.164+515.14
Received: 20.02.2008
Revised: 01.07.2008

Citation: A. Cavicchioli, Yu. V. Muranov, F. Spaggiari, F. Hegenbarth, “On Iterated Browder–Livesay Invariants”, Mat. Zametki, 86:2 (2009), 213–236; Math. Notes, 86:2 (2009), 196–215

Citation in format AMSBIB
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