7 citations · 7 across the 1 of their papers we have counts for
14 papers
Scholarly mathematical communication at a crossroads
Greg Kuperberg
This essay was invited for publication in Nieuw Archief voor Wiskunde; it will also appear in translation in the SMF Gazette and in the DMV Mitteilungen. I discuss the recent trend…
Kasteleyn cokernels
Greg Kuperberg
We consider Kasteleyn and Kasteleyn-Percus matrices, which arise in enumerating matchings of planar graphs, up to matrix operations on their rows and columns. If such a matrix is d…
Symmetry classes of alternating-sign matrices under one roof
Greg Kuperberg
In a previous article [math.CO/9712207], we derived the alternating-sign matrix (ASM) theorem from the Izergin-Korepin determinant for a partition function for square ice with doma…
Perturbative 3-manifold invariants by cut-and-paste topology
Greg Kuperberg, Dylan P. Thurston
We give a purely topological definition of the perturbative quantum invariants of links and 3-manifolds associated with Chern-Simons field theory. Our definition is as close as pos…
An exploration of the permanent-determinant method
Greg Kuperberg
The permanent-determinant method and its generalization, the Hafnian-Pfaffian method, are methods to enumerate perfect matchings of plane graphs that was discovered by P. W. Kastel…
Circumscribing constant-width bodies with polytopes
Greg Kuperberg
Makeev conjectured that every constant-width body is inscribed in the dual difference body of a regular simplex. We prove that homologically, there are an odd number of such circum…