Shareshian–Wachs elementary positivity
What the paper claims, in its own words
Resolves the elementary-positivity part of the Shareshian–Wachs conjecture: the chromatic quasisymmetric function of every natural unit interval graph has elementary-basis coefficients in . The coefficients count explicitly described permutations, giving a combinatorial explanation of positivity.
The plain-language explainer for this entry is still coming.