367 citations · 1.6k across the 63 of their papers we have counts for
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A low-technology estimate in convex geometry
Greg Kuperberg
Let be an -dimensional symmetric convex body with and let $K\dual$ be its polar body. We present an elementary proof of the fact that $$(\Vol K)(\Vol K\dual)\ge \f…
Alternating sign matrices and domino tilings
Noam Elkies, Greg Kuperberg, Michael Larsen +1
We introduce a family of planar regions, called Aztec diamonds, and study the ways in which these regions can be tiled by dominoes. Our main result is a generating function that no…
The quantum G_2 link invariant
Greg Kuperberg
We derive an inductive, combinatorial definition of a polynomial-valued regular isotopy invariant of links and tangled graphs. We show that the invariant equals the Reshetikhin-Tur…
Involutory Hopf algebras and 3-manifold invariants
Greg Kuperberg
We establish a 3-manifold invariant for each finite-dimensional, involutory Hopf algebra. If the Hopf algebra is the group algebra of a group , the invariant counts homomorphism…