Homotopy invariants of singularity categories

Gratz, S. and Stevenson, G. (2020) Homotopy invariants of singularity categories. Journal of Pure and Applied Algebra, 224(12), 106433. (doi: 10.1016/j.jpaa.2020.106433)

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Abstract

We present a method for computing A1-homotopy invariants of singularity categories of rings admitting suitable gradings. Using this we describe any such invariant, e.g. homotopy K-theory, for the stable categories of self-injective algebras admitting a connected grading. A remark is also made concerning the vanishing of all such invariants for cluster categories of type A2n quivers.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Stevenson, Dr Gregory and Gratz, Dr Sira
Authors: Gratz, S., and Stevenson, G.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Pure and Applied Algebra
Publisher:Elsevier
ISSN:0022-4049
ISSN (Online):1873-1376
Published Online:21 May 2020
Copyright Holders:Copyright © 2020 Elsevier B.V.
First Published:First published in Journal of Pure and Applied Algebra 224(12):106433
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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