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math.CO2024
The omega invariant of a matroid
Alex Fink, Kris Shaw, David E Speyer
The third author introduced the -polynomial of a matroid, a covaluative matroid statistic which is unchanged under series and parallel extension. The -polynomial of…
math.AG2024
Cluster deep loci and mirror symmetry
Marco Castronovo, Mikhail Gorsky, José Simental +1
Affine cluster varieties are covered up to codimension 2 by open algebraic tori. We put forth a general conjecture (based on earlier conversation between Vivek Shende and the last…