Derived equivalences induced by good silting complexes
Simion Breaz, George Ciprian Modoi
TL;DR
This paper investigates how certain silting objects in the derived category of dg-algebras with vanishing positive cohomologies induce equivalences, expanding understanding of derived equivalences in algebra.
Contribution
It introduces new conditions under which silting complexes induce derived equivalences in dg-algebras with zero positive cohomologies.
Findings
Identifies specific silting complexes that induce derived equivalences.
Provides criteria for when silting objects lead to equivalences.
Enhances understanding of derived categories in dg-algebra contexts.
Abstract
We study the equivalences induced by some special silting objects in the derived category over dg-algebra whose positive cohomologies are all zero.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology