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Bennequin-Plamenevskaya-Shumakovitch Type Inequalities for Kronheimer-Mrowka's Concordance Invariant

Published 1 Sep 2023 in math.GT | (2309.00415v2)

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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