Geodesic
Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras
Documenta mathematica, Tome 19 (2014), pp. 403-438
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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.
DOI : 10.4171/dm/451
Classification : 16E35, 16E45
Mots-clés : mutation, silting object, simple-minded collection, t-structure, co-t-structure 
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     author = {Steffen Koenig and Dong Yang},
     title = {Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras},
     journal = {Documenta mathematica},
     pages = {403--438},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/451},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/451/}
}
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Steffen Koenig; Dong Yang. Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras. Documenta mathematica, Tome 19 (2014), pp. 403-438. doi: 10.4171/dm/451

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