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arXiv · 2309.00415

Bennequin-Plamenevskaya-Shumakovitch type inequalities for Kronheimer-Mrowka's concordance invariant

Nobuo Iida
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Abstract

We give Bennequin-Plamenevskaya-Shumakovich type lower bounds for the concordance invariant $s^{\#}$ introduced by Kronheimer and Mrowka. The proof is a consequence of computations for torus knots and the cobordism inequality of $s^{\#}$ due to Gong, combined with well-known arguments used for slice-torus invariants.

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Nobuo Iida. 2026-04-14. Bennequin-Plamenevskaya-Shumakovitch type inequalities for Kronheimer-Mrowka's concordance invariant. https://arxiv.org/abs/2309.00415

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