Abstract
The classification of high-dimensional –component boundary links motivates decomposition theorems for the algebraic –groups of the group ring and the noncommutative Cohn localization , for any and an arbitrary ring , with the free group on generators and the set of matrices over which become invertible over under the augmentation . Blanchfield –modules and Seifert –modules are abstract algebraic analogues of the exteriors and Seifert surfaces of boundary links. Algebraic transversality for –module chain complexes is used to establish a long exact sequence relating the algebraic –groups of the Blanchfield and Seifert modules, and to obtain the decompositions of and subject to a stable flatness condition on for the higher –groups.
Citation
Andrew Ranicki. Desmond Sheiham. "Blanchfield and Seifert algebra in high-dimensional boundary link theory I: Algebraic $K$–theory." Geom. Topol. 10 (3) 1761 - 1853, 2006. https://doi.org/10.2140/gt.2006.10.1761
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