Adjunction inequality for spatially refined $s$-invariants

Abstract

We note an adjunction inequality in $k\overline{{\mathbb{CP}}^2}$ for the $s$-version of the $S{q}^1$-refinement of Rasmussen's $s$-invariant. This does not hold for general spatial refinements of $s$-invariants.

5 pages, 1 figure