A geometric perspective on the τ -cluster morphism category
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Abstract
We show how the τ-cluster morphism category may be defined in terms of the wall-and-chamber structure of an algebra. This geometric perspective leads to a simplified proof that the category is well-defined.
Description
Acknowledgements: This paper originated from a working group in pure mathematics at the University of Leicester. In solidarity with the other former pure mathematics researchers at the University of Leicester, we dedicate this paper to them and to pure mathematics.
Keywords
18G99, 16G10, τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}-Ttilting theory, 52B99, Wide subcategories, Wall-and-chamber structure, τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}-cluster morphism category
Journal Title
Mathematische Zeitschrift
Conference Name
Journal ISSN
0025-5874
1432-1823
1432-1823
Volume Title
312
Publisher
Springer Berlin Heidelberg
Publisher DOI
Rights and licensing
Except where otherwised noted, this item's license is described as http://creativecommons.org/licenses/by/4.0/