74 citations · 211 across the 39 of their papers we have counts for
5 papers · 1 filter
Transfinite mutations in the completed infinity-gon
Karin Baur, Sira Gratz
We introduce mutation along infinite admissible sequences for infinitely marked surfaces, that is surfaces with infinitely many marked points on the boundary. We show that mutation…
Strongness of companion bases for cluster-tilted algebras of finite type
Karin Baur, Alireza Nasr-Isfahani
For every cluster-tilted algebra of simply-laced Dynkin type we provide a companion basis which is strong, i.e. gives the set of dimension vectors of the finitely generated indecom…
Growth behaviour of periodic tame friezes
Karin Baur, Klemens Fellner, Mark James Parsons +1
We examine the growth behaviour of the entries occurring in -periodic tame friezes of real numbers. Extending \cite{T}, we prove that generalised recursive relations exist betwe…
Extensions between Cohen-Macaulay modules of Grassmannian cluster categories
Karin Baur, Dusko Bogdanic
In this paper we study extensions between Cohen-Macaulay modules for algebras arising in the categorifications of Grassmannian cluster algebras. We prove that rank 1 modules are pe…
The fibres of the Scott map on polygon tilings are the flip equivalence classes
Karin Baur, Paul P. Martin
We associate strand diagrams to tilings of surfaces with marked points, generalising Scott's method for triangulations of polygons. We thus obtain a map from tilings of surfaces to…