38 citations · 82 across the 5 of their papers we have counts for
6 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…
Rank- Dimer Models on Surfaces
Sri Tata
The web trace theorem of Douglas, Kenyon, Shi expands the twisted Kasteleyn determinant in terms of traces of webs. We generalize this theorem to higher genus surfaces and expand t…
2D Fermions and Statistical Mechanics: Critical Dimers and Dirac Fermions in a background gauge field
Sri Tata
In the limit of the lattice spacing going to zero, we consider the dimer model on isoradial graphs in the presence of singular gauge fields flat away from a set…
Higher cup products on hypercubic lattices: application to lattice models of topological phases
Yu-An Chen, Sri Tata
In this paper, we derive the explicit formula for higher cup products on hypercubic lattices, based on the recently developed geometrical interpretation in the simplicial case. We…
Anomalies in (2+1)D fermionic topological phases and (3+1)D path integral state sums for fermionic SPTs
Sri Tata, Ryohei Kobayashi, Daniel Bulmash +1
Given a (2+1)D fermionic topological order and a symmetry fractionalization class for a global symmetry group , we show how to construct a (3+1)D topologically invariant path in…
Geometrically Interpreting Higher Cup Products, and Application to Combinatorial Pin Structures
Sri Tata
We provide a geometric interpretation of the formulas for Steenrod's products, giving an explicit construction for a conjecture of Thorngren. We construct from a simplex a…