4 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…
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…
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…