37 citations · 313 across the 41 of their papers we have counts for
Showing 2015 · math.COShow all
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math.CO2015★ 32 cited
Resonance in orbits of plane partitions and increasing tableaux
Kevin Dilks, Oliver Pechenik, Jessica Striker
We introduce a new concept of resonance on discrete dynamical systems. This concept formalizes the observation that, in various combinatorially-natural cyclic group actions, orbit…
math.CO2015★ 10 cited
Equivariant K-theory of Grassmannians II: The Knutson-Vakil conjecture
Oliver Pechenik, Alexander Yong
In 2005, A. Knutson--R. Vakil conjectured a puzzle rule for equivariant K-theory of Grassmannians. We resolve this conjecture. After giving a correction, we establish a modified ru…
math.CO2015★ 20 cited
Equivariant K-theory of Grassmannians
Oliver Pechenik, Alexander Yong
We address a unification of the Schubert calculus problems solved by [A. Buch '02] and [A. Knutson-T. Tao '03]. That is, we prove a combinatorial rule for the structure coefficient…