Groups of obstructions to surgery and splitting for a~manifold pair
Sbornik. Mathematics, Tome 188 (1997) no. 3, pp. 449-463
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{SM_1997_188_3_a5,
author = {Yu. V. Muranov and D. Repov\v{s}},
title = {Groups of obstructions to surgery and splitting for a~manifold pair},
journal = {Sbornik. Mathematics},
pages = {449--463},
publisher = {mathdoc},
volume = {188},
number = {3},
year = {1997},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1997_188_3_a5/}
}
Yu. V. Muranov; D. Repovš. Groups of obstructions to surgery and splitting for a~manifold pair. Sbornik. Mathematics, Tome 188 (1997) no. 3, pp. 449-463. http://geodesic.mathdoc.fr/item/SM_1997_188_3_a5/