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