Cluster categories for topologists
Julia E. Bergner, Marcy Robertson
TL;DR
This paper explores the concept of cluster categories within topological triangulated categories, offering a new perspective on their structure and properties in algebraic topology.
Contribution
It introduces a topological viewpoint on cluster categories, extending their understanding beyond algebraic contexts.
Findings
Reformulation of cluster categories in topological terms
New insights into the structure of triangulated orbit categories
Potential applications in algebraic topology
Abstract
We consider triangulated orbit categories, with the motivating example of cluster categories, in their usual context of algebraic triangulated categories, then present them from another perspective in the framework of topological triangulated categories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Intracranial Aneurysms: Treatment and Complications