Two geometric models for graded skew-gentle algebras
Y Qiu, C Zhang, Y Zhou - arXiv preprint arXiv:2212.10369, 2022 - arxiv.org
In Part 1, we classify (indecomposable) objects in the perfect derived category $\mathrm
{per}\Lambda $ of a graded skew-gentle algebra $\Lambda $, generalizing …
{per}\Lambda $ of a graded skew-gentle algebra $\Lambda $, generalizing …
A geometric model for the module category of a skew-gentle algebra
P He, Y Zhou, B Zhu - Mathematische Zeitschrift, 2023 - Springer
In this article, we realize skew-gentle algebras as skew-tiling algebras associated to
admissible partial triangulations of punctured marked surfaces. Based on this, we establish …
admissible partial triangulations of punctured marked surfaces. Based on this, we establish …
On the resolution of kinks of curves on punctured surfaces
C Geiß, D Labardini-Fragoso - arXiv preprint arXiv:2307.11376, 2023 - arxiv.org
Let $(\Sigma,\mathbb {M},\mathbb {P}) $ be a surface with marked points $\mathbb
{M}\subseteq\partial\Sigma\neq\varnothing $ and punctures $\mathbb {P}\subseteq\Sigma …
{M}\subseteq\partial\Sigma\neq\varnothing $ and punctures $\mathbb {P}\subseteq\Sigma …
Quadratic Differentials as Stability Conditions of Graded Skew-gentle Algebras
S Lu, Y Qiu, D Wu - arXiv preprint arXiv:2310.20709, 2023 - arxiv.org
We prove that the principal component of the exchange graph of hearts of a graded skew-
gentle algebra can be identified with the corresponding exchange graph of S-graphs, using …
gentle algebra can be identified with the corresponding exchange graph of S-graphs, using …
Topological Fukaya category of tagged arcs
CH Cho, K Kim - arXiv preprint arXiv:2404.10294, 2024 - arxiv.org
A tagged arc on a surface is introduced by Fomin, Shapiro, and Thurston to study cluster
theory on marked surfaces. Given a tagged arc system on a graded marked surface, we …
theory on marked surfaces. Given a tagged arc system on a graded marked surface, we …
Indecomposable objects in the derived category of a skew-gentle algebra using orbifolds
C Amiot - arXiv preprint arXiv:2107.02646, 2021 - arxiv.org
Skew-gentle algebras are skew-group algebras of certain gentle algebras endowed with a Z
2-action. Using the topological description of Opper, Plamondon and Schroll in [OPS] for the …
2-action. Using the topological description of Opper, Plamondon and Schroll in [OPS] for the …
Skew-group A∞-categories as Fukaya categories of orbifolds
C Amiot, PG Plamondon - 2024 - cnrs.hal.science
We study the partially wrapped Fukaya category of a surface with boundary with an action of
a group of order two. Inspired by skew-group algebras and categories, we define the notion …
a group of order two. Inspired by skew-group algebras and categories, we define the notion …
Mutation graph of support -tilting modules over a skew-gentle algebra
P He, Y Zhou, B Zhu - arXiv preprint arXiv:2212.10880, 2022 - arxiv.org
Let $\mathcal {D} $ be a Hom-finite, Krull-Schmidt, 2-Calabi-Yau triangulated category with a
rigid object $ R $. Let $\Lambda=\operatorname {End} _ {\mathcal {D}} R $ be the …
rigid object $ R $. Let $\Lambda=\operatorname {End} _ {\mathcal {D}} R $ be the …
Skew-Brauer graph algebras
AG Elsener, V Guazzelli, Y Valdivieso - arXiv preprint arXiv:2410.01942, 2024 - arxiv.org
In this work, we introduce a new class of algebras called skew-Brauer graph algebras, which
generalize the well-known Brauer graph algebras. We establish that skew-Brauer graph …
generalize the well-known Brauer graph algebras. We establish that skew-Brauer graph …
Partially wrapped Fukaya categories of orbifold surfaces
S Barmeier, S Schroll, Z Wang - arXiv preprint arXiv:2407.16358, 2024 - arxiv.org
We give a complete description of partially wrapped Fukaya categories of graded orbifold
surfaces with stops. We show that a construction via global sections of a natural cosheaf of A …
surfaces with stops. We show that a construction via global sections of a natural cosheaf of A …