Alexander Modules
Copyright policy )Alexander Modules
The Alexander modules of a link are the homology groups of the universal abelian cover of the complement of the link. For a link of n n -spheres in S n + 2 {S^{n + 2}} , we show that, if n ⩾ 2 n \geqslant 2 , the Alexander modules A 2 , … , A n {A_2}, \ldots ,{A_n} and the torsion submodule of A 1 {A_1} are all of type L L . This leads to a characterization, below the middle dimension, of the polynomial invariants of the link. These results were previously proven for the special case of boundary links.
Knots and links in high dimensions (PL-topology), link module, Alexander module, m-component link of n-spheres in \(S^{n+2}\), Torsion modules and ideals in commutative rings, polynomial invariants of higher dimensional links
Knots and links in high dimensions (PL-topology), link module, Alexander module, m-component link of n-spheres in \(S^{n+2}\), Torsion modules and ideals in commutative rings, polynomial invariants of higher dimensional links
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!