On Knot Concordance
By Tae Hee Kim. 2006
80 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/9a7a2bde1be5acd52ad741651135493d7e80a09d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Jennifer Hom
- Tim D. Cochran
- M. Hedden
- Shelly L. Harvey
- Jae Choon Cha
- Charles Livingston
- Constance Leidy
- Peter D. Horn
Citations in the corpus
- A Survey of Classical Knot Concordance (2003, background): “Though difficult to compute in general, [14] demonstrates that if K is built as a satellite knot, then in special cases, as with the Casson-Gordon invariant, the value of this complicated invariant is related to the Tristram-Levine signature function of the companion knot.”
- Homology cobordism invariants and the Cochran-Orr-Teichner filtration of the link concordance group (2006, methodology): “7 of [11] and surrounding discussion) The L(2) –signature, .”
- Filtering smooth concordance classes of topologically slice knots (2012, methodology): “3]) of a knot being n–solvable in the sense of Cochran–Orr–Teichner [12].”
- The structure of the rational concordance group of knots (2006, methodology): “(In [13], rational solvability was considered only for knots in S3.”
- Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation (2008, unknown): “A few more recent articles include [4, 5, 9, 29, 31, 32].”
- Topologically slice knots with nontrivial Alexander polynomial (2010, methodology): “where CA is the concordance group of algebraically slice knots (that is, the kernel of Levine’s classifying homomorphism [28]) and the Ci are the terms of the CochranOrr-Teichner filtration [8].”
- Noncommutative knot theory. (2002, methodology): “These PID’s were crucial in our previous work [COT1].”
- Knot concordance and higher-order Blanchfield duality (2007, methodology): “We employ the Cheeger–Gromov von Neumann –invariants and higher-order Alexander modules that were introduced in [12].”
- An infinite-rank summand of topologically slice knots (2013, background): “Furthermore, many other of the most revealing tools in knot concordance (eg Casson–Gordon invariants [1; 2] and the Cochran–Orr–Teichner filtration [5]) also vanish on CTS .”