Add to ORKGAbstract. We extend the construction of canonical bases for cluster algebras from unpunc-tured surfaces to the case where the number of marked points on the boundary is one, and we show that the cluster algebra is equal to the upper cluster algebra in this case. 1
We study in this thesis the cluster category C[subscript S,M] and cluster algebra A[Subscript S,M] o...
AbstractWe give combinatorial formulas for the Laurent expansion of any cluster variable in any clus...
We present an effective method for recovering the topology of a bordered oriented surface with marke...
In 2002, Fomin and Zelevinsky introduced cluster algebras in the hopes of providing a new algebraic ...
We generalize the construction of the bangle, band and bracelet bases for cluster algebras from unpu...
Abstract. We study cluster algebras with principal and arbitrary coecient systems that are associate...
Abstract. We give combinatorial formulas for the Laurent expansion of any cluster variable in any cl...
Abstract. We introduce a new class of finite dimensional gentle alge-bras, the surface algebras, whi...
AbstractWe study cluster algebras with principal and arbitrary coefficient systems that are associat...
AbstractWe introduce a new class of finite-dimensional gentle algebras, the surface algebras, which ...
Abstract. This paper studies cluster algebras locally, by identifying a special class of localizatio...
44 pages, 14 figuresInternational audienceWith any non necessarily orientable unpunctured marked sur...
University of Minnesota Ph.D. dissertation. August 2016. Major: Mathematics. Advisor: Gregg Musiker....
AbstractThis paper studies cluster algebras locally, by identifying a special class of localizations...
Abstract. This paper defines several algebras associated to an oriented sur-face Σ with a finite set...
We study in this thesis the cluster category C[subscript S,M] and cluster algebra A[Subscript S,M] o...
AbstractWe give combinatorial formulas for the Laurent expansion of any cluster variable in any clus...
We present an effective method for recovering the topology of a bordered oriented surface with marke...
In 2002, Fomin and Zelevinsky introduced cluster algebras in the hopes of providing a new algebraic ...
We generalize the construction of the bangle, band and bracelet bases for cluster algebras from unpu...
Abstract. We study cluster algebras with principal and arbitrary coecient systems that are associate...
Abstract. We give combinatorial formulas for the Laurent expansion of any cluster variable in any cl...
Abstract. We introduce a new class of finite dimensional gentle alge-bras, the surface algebras, whi...
AbstractWe study cluster algebras with principal and arbitrary coefficient systems that are associat...
AbstractWe introduce a new class of finite-dimensional gentle algebras, the surface algebras, which ...
Abstract. This paper studies cluster algebras locally, by identifying a special class of localizatio...
44 pages, 14 figuresInternational audienceWith any non necessarily orientable unpunctured marked sur...
University of Minnesota Ph.D. dissertation. August 2016. Major: Mathematics. Advisor: Gregg Musiker....
AbstractThis paper studies cluster algebras locally, by identifying a special class of localizations...
Abstract. This paper defines several algebras associated to an oriented sur-face Σ with a finite set...
We study in this thesis the cluster category C[subscript S,M] and cluster algebra A[Subscript S,M] o...
AbstractWe give combinatorial formulas for the Laurent expansion of any cluster variable in any clus...
We present an effective method for recovering the topology of a bordered oriented surface with marke...