In this paper we consider various types of relative groups
which naturally arise in surgery theory, and describe algebraic
properties of them. Then we apply the obtained results to investigate
the splitting obstruction groups $LS_*$ and the surgery obstruction groups
$LP_*$ for a manifold pair. Finally, we introduce the lower $LS_*$- and
$LP_*$-groups, and describe connections between them and the corresponding
lower $L_*$-groups and surgery exact sequence.
Publié le : 2005-04-14
Classification:
Surgery obstruction groups,
splitting along a submanifold,
splitting obstruction groups,
lower $L$-groups,
surgery exact sequence,
57R67,
57Q10,
19J25,
19G24,
57R10,
55U35,
18F25
@article{1113318134,
author = {Cavicchioli, Alberto and Muranov, Yuri V. and Spaggiari, Fulvia},
title = {Relative groups in surgery theory},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {11},
number = {5},
year = {2005},
pages = { 109-135},
language = {en},
url = {http://dml.mathdoc.fr/item/1113318134}
}
Cavicchioli, Alberto; Muranov, Yuri V.; Spaggiari, Fulvia. Relative groups in surgery theory. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, pp. 109-135. http://gdmltest.u-ga.fr/item/1113318134/