aNNALES SCIENnIFIQUES SUPÉRIEUkE d L ÉCOLE hORMALE Page 1 aNNALES
SCIENnIFIQUES SUPÉRIEUkE d L ÉCOLE hORMALE ISSN 0012-9593 ASENAH SOCIÉTÉ …

In this article we use techniques from algebraic geometry and homological algebra, together
with ideas from string theory to construct a class of 3-dimensional Calabi-Yau algebras. The …

This paper summarizes recent developments in the theory of Bogomol'nyi–Prasad–
Sommerfield (BPS) state counting and the wall crossing phenomena, emphasizing in …

By Auslander's algebraic McKay correspondence, the stable category of Cohen-Macaulay
modules over a simple singularity is triangle equivalent to the $1 $-cluster category of the …

We show that the dimer model on a bipartite graph on a torus gives rise to a quantum
integrable system of special type-a cluster integrable system. The phase space of the …

Abstract BPS quivers for N=2\:SU(N) gauge theories are derived via geometric engineering
from derived categories of toric Calabi-Yau threefolds. While the outcome is in agreement of …

We study quivers with potential (QPs) whose Jacobian algebras are finite-dimensional
selfinjective. They are an analogue of the 'good QPs' studied by Bocklandt whose Jacobian …

A bstract We study the relation between the quantum integrable systems derived from the
dimer graphs and five dimensional\(\mathcal {N}\)= 1 supersymmetric gauge theories on S …

Given a quiver with potential associated with a toric Calabi–Yau threefold, the numerical
Donaldson–Thomas invariants for the moduli space of framed representations can be …

We show that for a non-degenerate dimer model, both the first consistency condition of
Mozgovoy and Reineke and the properly-orderedness condition of Gulotta are equivalent to …