162 citations · 348 across the 33 of their papers we have counts for
Showing 2004 · math.GTShow all
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math.GT2004
On Generalized Knot Groups
Xiao-Song Lin, Sam Nelson
Generalized knot groups G_n(K) were introduced first by Wada and Kelly independently. The classical knot group is the first one G_1(K) in this series of finitely presented groups.…
math.GT2004
Knot adjacency and fibering
Efstratia Kalfagianni, Xiao-Song Lin
It is known that the Alexander polynomial detects fibered knots and 3-manifolds that fiber over the circle. In this note, we show that when the Alexander polynomial becomes inconcl…
math.GT2004★ 1 cited
Knot adjacency, genus and essential tori
Efstratia Kalfagianni, Xiao-Song Lin
A knot K is called n-adjacent to another knot K', if K admits a projection containing n generalized crossings such that changing any 0 < m \leq n of them yields a projection of K'.…