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

2023/09/01 by Nobuo Iida, Iida, Nobuo
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2309.00415

openalex publication_date 2023/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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