33 citations · 203 across the 22 of their papers we have counts for
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math.GT2013★ 33 cited
Casson towers and filtrations of the smooth knot concordance group
Arunima Ray
The n-solvable filtration of the smooth knot concordance group (denoted by ), due to Cochran-Orr-Teichner, has been instrumental in th…
math.GT2013★ 15 cited
Satellite operators as group actions on knot concordance
Christopher W. Davis, Arunima Ray
Any knot in a solid torus, called a pattern or satellite operator, acts on knots in the 3-sphere via the satellite construction. We introduce a generalization of satellite operator…