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math.GT2004★ 1 cited
New obstructions to doubly slicing knots
Taehee Kim
A knot in the 3-sphere is called doubly slice if it is a slice of an unknotted 2-sphere in the 4-sphere. We give a bi-sequence of new obstructions for a knot being doubly slice. We…
math.GT2004
Infinite family of non-concordant knots having the same Seifert form
Taehee Kim
By a recent result of Livingston, it is known that if a knot has a prime power branched cyclic cover that is not a homology sphere, then there is an infinite family of non-concorda…