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Abstract
In this paper, we prove a conjecture of Friedl and Powell that their Casson–Gordon type invariant
of
2 –component
links with linking number one is actually an obstruction to being
height-3 . 5 Whitney
tower/grope concordant to the Hopf link. The proof employs the notion of solvable cobordism
of
3 –manifolds
with boundary, which was introduced by Cha. We also prove that
the Blanchfield form and the Alexander polynomial of links in
S 3 give obstructions
to height-3
Whitney tower/grope concordance. This generalizes the results of Hillman and
Kawauchi.
Keywords
link concordance, Whitney tower concordance, grope
concordance, Casson–Gordon invariant
Mathematical Subject Classification 2010
Primary: 57M25, 57M27
Secondary: 57N70
Publication
Received: 8 July 2014
Revised: 20 October 2014
Accepted: 2 November 2014
Published: 19 June 2015