Signatures of links in rational homology spheres

Details Signatures of links in rational homology spheres Signatures of links in rational homology spheres

2001-08-29

arxiv.org/abs/math/0108197v2

Mathematics

Geometric Topology

21 pages, 3 figures, to appear in Topology; references and pictures updated

Scientific paper

A theory of signatures for odd-dimensional links in rational homology spheres is studied via their generalized Seifert surfaces. The jump functions of signatures are shown invariant under appropriately generalized concordance and a special care is given to accommodate 1-dimensional links with mutual linking. Furthermore our concordance theory of links in rational homology spheres remains highly nontrivial after factoring out the contribution from links in integral homology spheres.

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