Casson towers and slice links
نویسندگان
چکیده
منابع مشابه
A Casson-lin Type Invariant for Links Eric Harper and Nikolai Saveliev
One of the characteristic features of the fundamental group of a closed 3manifold is that its representation variety in a compact Lie group tends to be finite, in a properly understood sense. This has been a guiding principle for defining invariants of 3-manifolds ever since Casson defined his λ-invariant for integral homology 3-spheres via a signed count of the SU(2) representations of the fun...
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We construct many examples of non-slice knots in 3-space that cannot be distinguished from slice knots by previously known invariants. Using Whitney towers in place of embedded disks, we define a geometric filtration of the 3-dimensional topological knot concordance group. As special cases of Whitney towers of height less than four, the bottom part of the filtration exhibits all classical conco...
متن کاملBing Topology & Casson Handles
In 1914, the 1-dimensional case of the conjecture was proven in full generality by Caratheodory and Osgood-Taylor using elaborate methods from complex analysis. The 2-dimensional case was studied in the 1920s by Alexander who first circulated a manuscript claiming a proof but soon discovered a counterexample himself, the famous horned sphere. Later Alexander found an extra condition under which...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2015
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-015-0639-z