Explanation for asymptotic Kolmogorov-Smirnov results

Can anyone explain the meaning of the two-sample Kolmogorov-Smirnov asymptotic test result? I assume it's some kind of p-value, but I see figures of 2-dimensional representations of these test results, with x-axis and y-axis containing values >1 (doesn't seem logical if they represent p-values). Can anyone help me out here?

Thanks a lot in advance!