Link Concordance, Boundary Link Concordance and Eta-invariants
نویسنده
چکیده
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.
منابع مشابه
AN ALGEBRAIC LINK CONCORDANCE GROUP FOR (p,2p-l)-LINKS IN S?* by PAT GILMER and CHARLES LIVINGSTON
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متن کاملar X iv : m at h / 99 04 16 9 v 1 [ m at h . G T ] 3 0 A pr 1 99 9 FINITE TYPE LINK CONCORDANCE INVARIANTS
This paper is a follow-up to [10], in which the author showed that the only real-valued finite type invariants of link homotopy are the linking numbers of the components. In this paper, we extend the methods used to show that the only real-valued finite type invariants of link concordance are, again, the linking numbers of the components.
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