Geodesic
Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras
Documenta mathematica, Tome 19 (2014), pp. 403-438.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Bijective correspondences are established between (1) silting objects, (2) simple-minded collections, (3) bounded $t$-structures with length heart and (4) bounded co-$t$-structures. These correspondences are shown to commute with mutations and partial orders. The results are valid for finite-dimensional algebras. A concrete example is given to illustrate how these correspondences help to compute the space of Bridgeland's stability conditions.
Classification : 16E35, 16E45, 18E30
Keywords: silting object, simple-minded collection, t-structure, co-t-structure, mutation 
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     title = {Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras},
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Koenig, Steffen; Yang, Dong. Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras. Documenta mathematica, Tome 19 (2014), pp. 403-438. http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a32/