5 citations · 7 across the 4 of their papers we have counts for
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math.AG2002★ 2 cited
Counting real rational functions with all real critical values
B. Shapiro, A. Vainshtein
We study the number of real rational degree n functions (considered up to linear fractional transformations of the independent variable) with a given set of 2n-2 distinct real crit…
math.QA2002
Cluster algebras and Poisson geometry
M. Gekhtman, M. Shapiro, A. Vainshtein
We introduce a Poisson variety compatible with a cluster algebra structure and a compatible toric action on this variety. We study Poisson and topological properties of the union o…