Zobrazeno 1 - 10
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pro vyhledávání: '"BAUR, KARIN"'
Autor:
Baur, Karin, Beil, Charlie
A ghor algebra is a path algebra with relations of a dimer quiver in a compact surface. We show that the global dimension of any cyclic localization of a geodesic ghor algebra on a genus $g \geq 1$ surface is bounded above by $2g+1$.This number coinc
Externí odkaz:
http://arxiv.org/abs/2412.04511
Building on work of Derksen-Fei and Plamondon, we formulate a conjectural correspondence between additive and monoidal categorifications of cluster algebras, which reveals a new connection between the additive reachability conjecture and the multipli
Externí odkaz:
http://arxiv.org/abs/2410.04401
In this article, we study infinite friezes arising from cluster categories of affine type $D$ and determine the growth coefficients for these friezes. We prove that for each affine type $D$, the friezes given by the tubes all have the same growth beh
Externí odkaz:
http://arxiv.org/abs/2407.11232
Autor:
Baur, Karin, Simoes, Raquel Coelho
In this paper, we give a geometric construction of string algebras and of their module categories. Our approach uses dissections of punctured Riemann surfaces with extra data at marked points, called labels. As an application, we give a classificatio
Externí odkaz:
http://arxiv.org/abs/2403.07810
A triangulation of a polygon is a subdivision of it into triangles, using diagonals between its vertices. Two different triangulations of a polygon can be related by a sequence of flips: a flip replaces a diagonal by the unique other diagonal in the
Externí odkaz:
http://arxiv.org/abs/2402.06546
Autor:
Baur, Karin, Krawchuk, Colin
In this article we introduce a gluing operation on dimer models. This allows us to construct dimer quivers on arbitrary surfaces. We study how the associated dimer and boundary algebras behave under the gluing and how to determine them from the gluin
Externí odkaz:
http://arxiv.org/abs/2402.02784
Autor:
Baur, Karin, Beil, Charlie
We study a new class of quiver algebras on surfaces, called 'geodesic ghor algebras'. These algebras generalize cancellative dimer algebras on a torus to higher genus surfaces, where the relations come from perfect matchings rather than a potential.
Externí odkaz:
http://arxiv.org/abs/2101.11512
Autor:
Baur, Karin, Beil, Charlie
Publikováno v:
Contemporary Mathematics (AMS), 2021
Cancellative dimer algebras on a torus have many nice algebraic and homological properties. However, these nice properties disappear for dimer algebras on higher genus surfaces. We consider a new class of quiver algebras on surfaces, called 'geodesic
Externí odkaz:
http://arxiv.org/abs/2101.10843
Autor:
Baur, Karin
The famous theorem of Conway and Coxeter on frieze patterns gave a geometric interpretation to integral friezes via triangulations of polygons. In this article, we review this result and show some of the development it has led to. The last decade has
Externí odkaz:
http://arxiv.org/abs/2101.05676
Motivated by the recent advances in the categorification of the cluster structure on the coordinate rings of Grassmannians of $k$-subspaces in $n$-space, we investigate a particular construction of root systems of type $\mathsf{T}_{2,p,q}$, including
Externí odkaz:
http://arxiv.org/abs/2101.03119