2 papers
math.AC2026
Regular pullback of generalized cluster structures
Misha Gekhtman, Michael Shapiro, Alek Vainshtein
We consider the problem of lifting a regular cluster structure on a quasi-affine variety to the ambient affine space and a similar problem of defining a regular pullback of a regul…
math.QA2026
A generalized cluster structure on via birational Poisson maps
Misha Gekhtman, Michael Shapiro, Alek Vainshtein
In a recent work, we constructed a rational map from a simple Lie group to itself that intertwines the standard Poisson--Lie structure on with a Poisson h…