19 citations · 75 across the 13 of their papers we have counts for
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math.AG2019★ 8 cited
Cluster Structures on Double Bott-Samelson Cells
Linhui Shen, Daping Weng
Let be a symmetrizable generalized Cartan matrix. We introduce four different versions of double Bott-Samelson cells for every pair of positive braids in the generalized braid…
math.AG2016★ 9 cited
Donaldson-Thomas Transformation of Double Bruhat Cells in Semisimple Lie Groups
Daping Weng
Double Bruhat cells were studied by Fomin and Zelevinsky. They provide important examples of cluster algebras and cluster Poisson varieties. Cluster varieties produce exa…
math.AG2016★ 4 cited
Donaldson-Thomas Transformation of Double Bruhat Cells in General Linear Groups
Daping Weng
Kontsevich and Soibelman defined the Donaldson-Thomas invariants of a 3d Calabi-Yau category with a stability condition. Any cluster variety can produce an example of such a catego…