Splitting along a submanifold pair
几何拓扑
2008-10-07 v1 代数拓扑
摘要
The paper introduces a group of obstructions for splitting a homotopy equivalence along a pair of submanifolds. We develop exact sequences relating the -groups with various surgery obstruction groups for manifold triple and structure sets arising from triples of manifolds. The natural map from the surgery obstruction group of the ambient manifold to the -group provides an invariant when elements of the Wall group are not realized by normal maps of closed manifolds. Some -groups are computed precisely.
引用
@article{arxiv.math/0608730,
title = {Splitting along a submanifold pair},
author = {R. Jimenez and Yu. V. Muranov and D. Repovš},
journal= {arXiv preprint arXiv:math/0608730},
year = {2008}
}
备注
K-theory, to appear