17 citations · 33 across the 15 of their papers we have counts for
Showing 2007 · math.GTShow all
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math.GT2007
Nonfibered knots and representation shifts
Daniel S. Silver, Susan G. Williams
The authors conjectured previously that a knot is nonfibered if and only if its infinite cyclic cover has uncountably many finite covers. We prove the conjecture for a class of kno…
math.GT2007
When does a satellite knot fiber?
Mikami Hirasawa, Kunio Murasugi, Daniel S. Silver
Necessary and sufficient conditions are given for a satellite knot to be fibered. Any knot embeds in an unknotted solid torus with arbitrary winding number in…
math.GT2007★ 2 cited
Virtual Knot Invariants from Group Biquandles and Their Cocycles
J. Scott Carter, Mohamed Elhamdadi, Masahico Saito +2
A group-theoretical method, via Wada's representations, is presented to distinguish Kishino's virtual knot from the unknot. Biquandles are constructed for any group using Wada's br…