The correspondence between silting objects and $t$-structures for non-positive dg algebras
Representation Theory
2024-12-30 v3
Abstract
We establish a bijective correspondence between isomorphism classes of basic silting objects of and algebraic -structures of for locally finite non-positive dg algebra over a field (more generally, we work in the setting of ST-pair inside an algebraic triangulated category). For a non-positive (topologically) homologically smooth dg -algebra whose zeroth cohomology is finite-dimensional, or for a non-positive proper dg -algebra , the one-to-one correspondence between isomorphism classes of basic silting objects of and algebraic -structures on was already known. The main result of this paper generalizes the above two results to locally finite non-positive dg -algebras.
Keywords
Cite
@article{arxiv.2312.17597,
title = {The correspondence between silting objects and $t$-structures for non-positive dg algebras},
author = {Riku Fushimi},
journal= {arXiv preprint arXiv:2312.17597},
year = {2024}
}
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13 pages