Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Serhiyenko, Khrystyna"'
Autor:
Berggren, Jonah, Serhiyenko, Khrystyna
A dimer model is a quiver with faces embedded into a disk. A consistent dimer model gives rise to a strand diagram, and hence to a positroid. The Gorenstein-projective module category over the completed boundary algebra of a dimer model was shown by
Externí odkaz:
http://arxiv.org/abs/2404.02886
One can explicitly compute the generators of a surface cluster algebra either combinatorially, through dimer covers of snake graphs, or homologically, through the CC-map applied to indecomposable modules over the appropriate algebra. Recent work by M
Externí odkaz:
http://arxiv.org/abs/2402.15495
Autor:
Berggren, Jonah, Serhiyenko, Khrystyna
A dimer model is a quiver with faces embedded in a surface. We define and investigate notions of consistency for dimer models on general surfaces with boundary which restrict to well-studied consistency conditions in the disk and torus case. We defin
Externí odkaz:
http://arxiv.org/abs/2310.02454
We explore a three-dimensional counterpart of the Farey tessellation and its relations to Penner's lambda lengths and $SL_2$-tilings. In particular, we prove a three-dimensional version of Ptolemy relation, and generalise results of Ian Short to clas
Externí odkaz:
http://arxiv.org/abs/2306.17118
Autor:
Schiffler, Ralf, Serhiyenko, Khrystyna
Dimer tree algebras are a class of non-commutative Gorenstein algebras of Gorenstein dimension 1. In previous work we showed that the stable category of Cohen-Macaulay modules of a dimer tree algebra $A$ is a 2-cluster category of Dynkin type $\mathb
Externí odkaz:
http://arxiv.org/abs/2211.14580
Leclerc constructed a conjectural cluster structure on Richardson varieties in simply laced types using cluster categories. We show that in type A, his conjectural cluster structure is in fact a cluster structure. We do this by comparing Leclerc's co
Externí odkaz:
http://arxiv.org/abs/2210.13302
Autor:
von Bell, Matias, Braun, Benjamin, Bruegge, Kaitlin, Hanely, Derek, Peterson, Zachery, Serhiyenko, Khrystyna, Yip, Martha
The cone of nonnegative flows for a directed acyclic graph (DAG) is known to admit regular unimodular triangulations induced by framings of the DAG. These triangulations restrict to triangulations of the flow polytope for strength one flows, which ar
Externí odkaz:
http://arxiv.org/abs/2203.01896
Autor:
Schiffler, Ralf, Serhiyenko, Khrystyna
Publikováno v:
In Journal of Algebra 15 December 2024 660:91-133
Autor:
Schiffler, Ralf, Serhiyenko, Khrystyna
In this article, we continue the study of a certain family of 2-Calabi-Yau tilted algebras, called dimer tree algebras. The terminology comes from the fact that these algebras can also be realized as quotients of dimer algebras on a disc. They are de
Externí odkaz:
http://arxiv.org/abs/2110.09976
Publikováno v:
In Advances in Mathematics June 2024 447