One-sided localization in dg categories
Joseph Chuang, Andrey Lazarev
TL;DR
This paper introduces a new concept of one-sided localization in dg categories and algebras, providing simplified methods for derived localization and refining Drinfeld's quotient construction.
Contribution
It develops the theory of one-sided localization in dg categories and algebras, offering new tools for derived localization and quotient refinement.
Findings
Constructed a simple method for derived localization of dg algebras and categories.
Refined Drinfeld's quotient of pretriangulated dg categories.
Extended the notion of localization to a homotopy invariant setting.
Abstract
The notion of one-sided localization in the homotopy invariant context is developed for dg algebras and dg categories. Applications include a simple construction of derived localization of dg algebras and dg categories, and a refinement of Drinfeld's quotient of pretriangulated dg categories.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra