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arxiv: 1508.07047 · v2 · pith:2MIL4EGSnew · submitted 2015-08-27 · 🧮 math.GT

A slicing obstruction from the 10/8 theorem

classification 🧮 math.GT
keywords obstructionknotssliceslicingsmooththeoremableboundary
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From Furuta's $\frac{10}{8}$ theorem, we derive a smooth slicing obstruction for knots in $S^3$ using a spin $4$-manifold whose boundary is $0$-surgery on a knot. We show that this obstruction is able to detect torsion elements in the smooth concordance group and find topologically slice knots which are not smoothly slice.

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