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 کاملConcordance Invariants from Higher Order Covers
We generalize the Manolescu-Owens smooth concordance invariant δ(K) of knots K ⊂ S to invariants δpn(K) obtained by considering covers of order p, with p a prime. Our main result shows that for any prime p 6= 2, the thus obtained homomorphism ⊕n∈Nδpn from the smooth concordance group to Z∞ has infinite rank. We also show that unlike δ, these new invariants typically are not multiples of the kno...
متن کاملConcordance 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 کاملKnot Concordance and Von Neumann Ρ-invariants
We present new results, announced in [T], on the classical knot concordance group C. We establish the nontriviality at all levels of the (n)-solvable filtration · · · ⊆ Fn ⊆ · · · ⊆ F1 ⊆ F0 ⊆ C introduced in [COT1]. Recall that this filtration is significant due to its intimate connection to tower constructions arising in work of A. Casson and M. Freedman on the topological classification probl...
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: Algebraic & Geometric Topology
سال: 2019
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2019.19.3315