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Mat. Sb., 1997 Volume 188, Number 3, Pages 127–142 (Mi sm213)

This article is cited in 16 papers

Groups of obstructions to surgery and splitting for a manifold pair

Yu. V. Muranova, D. Repovšb

a Vladimir State University
b University of Ljubljana

Abstract: The surgery obstruction groups $LP_*$ of manifold pairs are studied. An algebraic version of these groups for squares of antistructures of a special form equipped with decorations is considered. The squares of antistructures in question are natural generalizations of squares of fundamental groups that occur in the splitting problem for a one-sided submanifold of codimension 1 in the case when the fundamental group of the submanifold is mapped epimorphically onto the fundamental group of the manifold. New connections between the groups $LP_*$, the Novikov–Wall groups, and the splitting obstruction groups are established.

UDC: 515.1

MSC: Primary 57R67; Secondary 19J25

Received: 28.05.1996

DOI: 10.4213/sm213


 English version:
Sbornik: Mathematics, 1997, 188:3, 449–463

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