\(\mathbb{A}^1\)-homotopy invariants of dg orbit categories

DOI10.1016/j.jalgebra.2015.03.028zbMath1351.14009arXiv1409.8241OpenAlexW3140460455MaRDI QIDQ2343512

Gonçalo Tabuada

Publication date: 6 May 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8241

zbMATH Keywords

algebraic \(K\)-theoryFourier-Mukai transformnoncommutative algebraic geometrycluster categorydg orbit categoryKleinian singularities\(\mathbb{A}^1\)-homotopy

Mathematics Subject Classification ID

Related Items (3)

Algebraic \(K\)-theory with coefficients of cyclic quotient singularities ⋮ Homotopy invariants of singularity categories ⋮ VANISHING OF THE NEGATIVE HOMOTOPY -THEORY OF QUOTIENT SINGULARITIES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the K-theory of local fields
• \(\mathbb P\)-objects and autoequivalences of derived categories
• \(\mathbf{A}^1\)-homotopy theory of noncommutative motives
• Root categories and simple Lie algebras
• Invariance and localization for cyclic homology of DG algebras
• DG quotients of DG categories.
• Cyclic homology, comodules, and mixed complexes
• Braid group actions on derived categories of coherent sheaves.
• Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives
• The Grothendieck group of a cluster category.
• Tilting theory and cluster combinatorics.
• Bivariant \(K\)-theory and the Weyl algebra
• Rationale Singularitäten komplexer Flächen
• On triangulated orbit categories
• Reconstruction of a variety from the derived category and groups of autoequivalences
• The fundamental theorem via derived Morita invariance, localization, and ¹-homotopy invariance
• Cluster categories
• Duality between D(X) and with its application to picard sheaves
• ENHANCED TRIANGULATED CATEGORIES
• Acyclic Calabi–Yau categories
• Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
• Uniqueness of enhancement for triangulated categories
• Noncommutative motives of Azumaya algebras
• Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday
• A guided tour through the garden of noncommutative motives
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
• Bivariant algebraic K-theory

This page was built for publication: \(\mathbb{A}^1\)-homotopy invariants of dg orbit categories