منابع مشابه
Concordance of links with identical Alexander invariants
Davis showed that the topological concordance class of a link in the 3-sphere is uniquely determined by its Alexander polynomial for 2-component links with Alexander polynomial one. A similar result for knots with Alexander polynomial one was shown earlier by Freedman. We prove that these two cases are the only exceptional cases, by showing that the link concordance class is not determined by t...
متن کاملWhitney tower concordance of classical links
This paper computes Whitney tower filtrations of classical links. Whitney towers consist of iterated stages of Whitney disks and allow a tree-valued intersection theory, showing that the associated graded quotients of the filtration are finitely generated abelian groups. Twisted Whitney towers are studied and a new quadratic refinement of the intersection theory is introduced, measuring Whitney...
متن کاملLink Concordance, Boundary Link Concordance and Eta-invariants
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 sh...
متن کاملAnalytic Invariants of Boundary Links
Using basic topology and linear algebra, we define a plethora of invariants of boundary links whose values are power series with noncommuting variables. These turn out to be useful and elementary reformulations of an invariant originally defined by M. Farber [Fa2].
متن کاملConcordance Invariance of Levine-Tristram Signatures of Links
We determine for which complex numbers on the unit circle the Levine-Tristram signature and the nullity give rise to link concordance invariants. 2010 Mathematics Subject Classification: primary: 57M25, secondary: 57M27, 57N70
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2007
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216507005737