paper

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

arXiv:2309.00415

Abstract

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

6 pages, Minor corrections, To appear in Journal of Knot Theory and Its Ramifications