Link concordance, boundary link concordance and eta invariants

Details Link concordance, boundary link concordance and eta invariants Link concordance, boundary link concordance and eta invariants

2003-06-09

arxiv.org/abs/math/0306149v1

Mathematics

Geometric Topology

25 pages

Scientific paper

We study the eta-invariants of links and show that in many cases they form link concordance invariants, in particular that many eta-invariants vanish for slice links. This result contains and generalizes previous invariants by Smolinsky and Cha--Ko. We give a formula for the eta-invariant for boundary links. In several intersting cases this allows us to show that a given link is not slice. We show that even more eta-invariants have to vanish for boundary slice links. We give an example of a boundary link $L$ that is not boundary slice but where all the known link concordance invariants computed so far are zero.

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