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 کاملLink Invariants of Finite Type andPerturbation
The Vassiliev-Gusarov link invariants of nite type are known to be closely related to perturbation theory for Chern-Simons theory. In order to clarify the perturbative nature of such link invariants, we introduce an algebra V 1 containing elements g i satisfying the usual braid group relations and elements a i satisfying g i ? g ?1 i = a i , where is a formal variable that may be regarded as me...
متن کامل0 Finite Type Link - Homotopy Invariants
An explicit polynomial in the linking numbers lij and Milnor's triple linking numbers µ(rst) on six component links is shown to be a well-defined finite type link-homotopy invariant. This solves a problem raised by B. Mellor and D. Thurston. An extension of our construction also produces a finite type link invariant which detects the invertibility for some links.
متن کاملFINITE TYPE LINK HOMOTOPY INVARIANTS II: Milnor’s ¯µ-invariants
We define a notion of finite type invariants for links with a fixed linking matrix. We show that Milnor's link homotopy invariant ¯ µ(ijk) is a finite type invariant, of type 1, in this sense. We also generalize this approach to Milnor's higher order ¯ µ invariants and show that they are also, in a sense, of finite type. Finally, we compare our approach to another approach for defining finite t...
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...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2000
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216500000177