6 citations · 10 across the 6 of their papers we have counts for
7 papers
A quantum N-dimer model
Daniel C. Douglas, Richard Kenyon, Nicholas Ovenhouse +2
We study a quantum version of the -dimer model from statistical mechanics, based on the formalism from quantum topology developed by Reshetikhin and Turaev (the latter which, in…
Monomial web basis for the SL(N) skein algebra of the twice punctured sphere
Tommaso Cremaschi, Daniel C. Douglas
We give a new proof of a slightly modified version of a result of Queffelec--Rose, by constructing a linear basis for the skein algebra of the twice punctured sphe…
Dimers, webs, and local systems
Daniel C. Douglas, Richard Kenyon, Haolin Shi
For a planar bipartite graph equipped with a -local system, we show that the determinant of the associated Kasteleyn matrix counts "-multiwebs" (gene…
Points of quantum coming from quantum snakes
Daniel C. Douglas
We show that the quantized Fock-Goncharov monodromy matrices satisfy the relations of the quantum special linear group . The proof employs a quantum version of the…
Quantum traces for : The case
Daniel C. Douglas
We generalize Bonahon-Wong's -quantum trace map to the setting of . More precisely, given a non-zero complex parameter $q=e^{2…
Tropical Fock-Goncharov coordinates for -webs on surfaces II: naturality
Daniel C. Douglas, Zhe Sun
In a companion paper (arXiv 2011.01768), we constructed nonnegative integer coordinates for the collection $…