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math.AG2026
Monodromy of plane curve singularities and quiver mutation
Roger Casals
The main result of this article shows that the quiver mutation class of a malleable real Morsification uniquely determines the integral monodromy module of a plane curve singularit…
math.GT2026
On wall-crossing coordinates in Cerf theory
Roger Casals
We relate Bruhat numbers in real Morse theory to cluster variables in braid varieties. This provides instances of wall-crossing coordinates in the study of Cerf diagrams.