Homotopy invariants of singularity categories

[摘要] We present a method for computing A(1)-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 A(2n) quivers. (C) 2020 Elsevier B.V. All rights reserved.

[发布日期] 2020-12-01

[关键词] DG-categories;Orbit categories;K-theory;Singularity categories;A(1)-homotopy invariants