80 citations · 437 across the 36 of their papers we have counts for
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math.CO2016★ 7 cited
Trace Identities for the Topological Vertex
Jim Bryan, Martijn Kool, Benjamin Young
The topological vertex is a universal series which can be regarded as an object in combinatorics, representation theory, geometry, or physics. It encodes the combinatorics of 3D pa…
math.CO2008★ 80 cited
Generating functions for colored 3D Young diagrams and the Donaldson-Thomas invariants of orbifolds
Benjamin Young, Jim Bryan
We derive two multivariate generating functions for three-dimensional Young diagrams (also called plane partitions). The variables correspond to a colouring of the boxes according…
math.CO1997★ 1 cited
Orbifold Euler characteristics and the number of commuting n-tuples in symmetric groups
Jim Bryan, Jason Fulman
Generating functions for the number of commuting m-tuples in the symmetric groups are obtained. We define a natural sequence of ``orbifold Euler characteristics'' for a finite grou…