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The -equivariant Seiberg--Witten Floer cohomology of the -cable is an unknot detector
Nobuo Iida, Tatsumasa Suzuki
We prove that a knot is the unknot if and only if the -equivariant Seiberg--Witten Floer cohomology of the double cover branched along the -ca…
The pretzel knot is not squeezed
Nobuo Iida, Tatsumasa Suzuki
We prove that an infinite family of three-strand pretzel knots is not squeezed. In particular, we show that is not squeezed. This answers a question posed by Lewark (…
The non-simply connected Price twist for the 4-sphere
Tsukasa Isoshima, Tatsumasa Suzuki
A cutting and pasting operation on a -knot in a -manifold is called the Price twist. The Price twist for the -sphere yields at most three -manifolds up to d…
On the Ozsváth-Szabó -invariants for almost simple linear graphs
Tatsumasa Suzuki
Karakurt and Şavk computed the Ozsváth-Szabó -invariants of Brieskorn homology -spheres arising as surgeries on almost simple linear graphs. In this paper, we refine their fo…
Pochette surgery of 4-sphere
Tatsumasa Suzuki, Motoo Tange
Iwase and Matsumoto defined `pochette surgery' as a cut-and-paste on 4-manifolds along a 4-manifold homotopy equivalent to . The first author in [10] studied infinitel…
Constructions of homotopy 4-spheres by pochette surgery
Tatsumasa Suzuki
The pochette surgery, which was discovered by Iwase and Matsumoto, is a generalization of the Gluck surgery. In this paper we construct infinitely many embeddings of a pochette int…