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arXiv · 1203.5657

Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras

Steffen Koenig·Dong Yang
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Abstract

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. 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.

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Steffen Koenig, Dong Yang. 2013-09-07. Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras. https://arxiv.org/abs/1203.5657

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