Compact Corigid Objects in Triangulated Categories and Co-t-structures
| dc.creator | Pauksztello, David | |
| dc.date | 2007-05-01 | |
| dc.date | 2007-10-23 | |
| dc.date.accessioned | 2026-07-07T08:37:28Z | |
| dc.date.available | 2026-07-07T08:37:28Z | |
| dc.description | In the work of Hoshino, Kato and Miyachi, the authors look at t-structures induced by a compact object, C, of a triangulated category, T, which is rigid in the sense of Iyama and Yoshino. Hoshino, Kato and Miyachi show that such an object yields a non-degenerate t-structure on T whose heart es equivalent to Mod(End(C)^op). Rigid objects in a triangulated category can be thought of as behaving like chain differential graded algebras (DGAs). Analogously, looking at objects which behave like cochain DGAs naturally gives the dual notion of a corigid object. Here, we see that a compact corigid object, S, of a triangulated category, T, induces a structure similar to a t-structure which we shall call a co-t-structure. We also show that the coheart of this non-degenerate co-t-structure is equivalent to Mod(End(S)^op), and hence an abelian subcategory of T. | |
| dc.description | 21 pages, reorganised paper with added material and examples of t-structures and co-t-structures | |
| dc.identifier | https://arxiv.org/abs/0705.0102 | |
| dc.identifier | http://arxiv.org/abs/0705.0102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140409 | |
| dc.subject | Category Theory | |
| dc.subject | 16E45, 18E30, 18E40 | |
| dc.title | Compact Corigid Objects in Triangulated Categories and Co-t-structures | |
| dc.type | text |