most citedThe Rasmussen invariant of a homogeneous knot

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math.GT2014★ 2 cited

Annulus twist and diffeomorphic 4-manifolds II

Tetsuya Abe, In Dae Jong

We solve a strong version of Problem 3.6 (D) in Kirby's list, that is, we show that for any integer , there exist infinitely many mutually distinct knots such that -handle ad…

math.GT2010★ 4 cited

The Rasmussen invariant of a homogeneous knot

Tetsuya Abe

A homogeneous knot is a generalization of alternating knots and positive knots. We determine the Rasmussen invariant of a homogeneous knot. This is a new class of knots such that t…