114 citations · 500 across the 43 of their papers we have counts for
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math.AT2005★ 4 cited
The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points
Pavel Etingof, Andre Henriques, Joel Kamnitzer +1
We compute the Poincare polynomial and the cohomology algebra with rational coefficeints of the manifold M_n of real points of the moduli space of algebraic curves of genus 0 with…
math.QA2005★ 3 cited
The crystal structure on the set of Mirkovic-Vilonen polytopes
Joel Kamnitzer
In an earlier work, we proved that MV polytopes parameterize both Lusztig's canonical basis and the Mirkovic-Vilonen cycles on the Affine Grassmannian. Each of these sets has a cry…
math.AG2005★ 13 cited
Mirkovic-Vilonen cycles and polytopes
Joel Kamnitzer
We give an explicit description of the Mirkovic-Vilonen cycles on the affine Grassmannian for arbitrary complex reductive groups. We also give a combinatorial characterization of t…