منابع مشابه
Link 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 کاملVassiliev Homotopy String Link Invariants
We investigate Vassiliev homotopy invariants of string links, and find that in this particular case, most of the questions left unanswered in [3] can be answered affirmatively. In particular, Vassiliev invariants classify string links up to homotopy, and all Vassiliev homotopy string link invariants come from marked surfaces as in [3], using the same construction that in the case of knots gives...
متن کاملHomotopy, ∆-equivalence and Concordance for Knots in the Complement of a Trivial Link
Link-homotopy and self ∆-equivalence are equivalence relations on links. It was shown by J. Milnor (resp. the last author) that Milnor invariants determine whether or not a link is link-homotopic (resp. self ∆-equivalent) to a trivial link. We study link-homotopy and self ∆-equivalence on a certain component of a link with fixing the rest components, in other words, homotopy and ∆-equivalence o...
متن کاملTwisted Torsion Invariants and Link Concordance
The twisted torsion of a 3-manifold is well-known to be zero whenever the corresponding twisted Alexander module is non-torsion. Under mild extra assumptions we introduce a new twisted torsion invariant which is always non-zero. We show how this torsion invariant relates to the twisted intersection form of a bounding 4-manifold, generalizing a theorem of Milnor to the non-acyclic case. Using th...
متن کاملAlexander Duality, Gropes and Link Homotopy
We prove a geometric refinement of Alexander duality for certain 2–complexes, the so-called gropes, embedded into 4–space. This refinement can be roughly formulated as saying that 4–dimensional Alexander duality preserves the disjoint Dwyer filtration. In addition, we give new proofs and extended versions of two lemmas of Freedman and Lin which are of central importance in the A-B–slice problem...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1979
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11839