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Link concordance, boundary link concordance and eta invariants | | Stefan Friedl
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9 Jun 2003 | | Subject: | Geometric Topology MSC-class: 57M25, 57Q45 | math.GT | | Abstract: | 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. | | Source: | arXiv, math.GT/0306149 | | Services: | Forum | Review | PDF | Favorites | |
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