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: | Gratz, Dr Sira and Stevenson, Dr Gregory |
| 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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