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Abstract: In the work of Hoshino, Kato and Miyachi, the authors look at t-structuresinduced by a compact object, C, of a triangulated category, T, which is rigidin the sense of Iyama and Yoshino. Hoshino, Kato and Miyachi show that such anobject yields a non-degenerate t-structure on T whose heart es equivalent toMod(End(C)^op). Rigid objects in a triangulated category can be thought of asbehaving like chain differential graded algebras (DGAs).Analogously, looking at objects which behave like cochain DGAs naturallygives the dual notion of a corigid object. Here, we see that a compact corigidobject, S, of a triangulated category, T, induces a structure similar to at-structure which we shall call a co-t-structure. We also show that the coheartof this non-degenerate co-t-structure is equivalent to Mod(End(S)^op), andhence an abelian subcategory of T.



Autor: David Pauksztello

Fuente: https://arxiv.org/







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