Eta invariants as sliceness obstructions and their relation to Casson–Gordon invariants
نویسندگان
چکیده
منابع مشابه
Eta Invariants as Sliceness Obstructions and Their Relation to Casson-gordon Invariants
We give a useful classification of the metabelian unitary representations of π1(MK), where MK is the result of zero-surgery along a knot K ⊂ S . We show that certain eta invariants associated to metabelian representations π1(MK)→ U(k) vanish for slice knots and that even more eta invariants vanish for ribbon knots and doubly slice knots. We show that our vanishing results contain the Casson–Gor...
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Cochran, Orr and Teichner introduced L–eta–invariants to detect highly non–trivial examples of non slice knots. Using a recent theorem by Lück and Schick we show that their metabelian L–eta–invariants can be viewed as the limit of finite dimensional unitary representations. We recall a ribbon obstruction theorem proved by the author using finite dimensional unitary eta–invariants. We show that ...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2004
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2004.4.893