most citedAn algorithm for computing the -invariant and the -invariants of Dehn surgeries

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math.GT2020★ 1 cited

An algorithm for computing the -invariant and the -invariants of Dehn surgeries

Taketo Sano, Kouki Sato

By using grid homology theory, we give an explicit algorithm for computing Ozsváth-Stipsicz-Szabó's -invariant and the -invariant of Dehn surgeries along knots in . As i…

math.GT2018

Rational homology 3-spheres and simply connected definite bounding

Kouki Sato, Masaki Taniguchi

For each rational homology 3-sphere which bounds simply connected definite 4-manifolds of both signs, we construct an infinite family of irreducible rational homology 3-spheres…