Continuous cluster categories of type D
Representation Theory
2013-10-01 v1
Abstract
We construct continuous Frobenius categories of type . The stable categories of these Frobenius categories are cluster categories which contain the standard cluster categories of type . When , maximal compatible sets of indecomposable objects are laminations of the punctured disk. Discrete laminations are clusters. This new construction is topological and it also gives an algebraic interpretation of the "tagged arcs" which occur in Schiffler's geometric description of clusters of type .
Cite
@article{arxiv.1309.7409,
title = {Continuous cluster categories of type D},
author = {Kiyoshi Igusa and Gordana Todorov},
journal= {arXiv preprint arXiv:1309.7409},
year = {2013}
}
Comments
41 pages, 11 figures