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math.GT2015
Tight fibered knots and band sums
Kenneth L. Baker, Kimihiko Motegi
We give a short proof that if a non-trivial band sum of two knots results in a tight fibered knot, then the band sum is a connected sum. In particular, this means that any prime kn…
math.GT2015★ 6 cited
Twist families of L-space knots, their genera, and Seifert surgeries
Kenneth L. Baker, Kimihiko Motegi
Conjecturally, there are only finitely many Heegaard Floer L-space knots in of a given genus. We examine this conjecture for twist families of knots obtained by twi…