We will prove a Riemann–Roch like theorem for triangulated categories satisfying Serre
duality. As an application, we will prove Riemann–Roch Theorem and Adjunction Formula …

Tilting objects play a key role in the study of triangulated categories. A famous result due to
Iyama and Takahashi asserts that the stable categories of graded maximal Cohen …

This article is the companion of [G. Tabuada, Postnikov towers, k-invariants and obstruction
theory for DG categories, J. Algebra, in press]. By inspiring ourselves in André–Quillen's …

The Popescu–Gabriel theorem states that each Grothendieck abelian category is a
localization of a module category. In this paper, we prove an analogue where Grothendieck …

We prove that Toën's secondary Grothendieck ring is isomorphic to the Grothendieck ring of
smooth proper pretriangulated dg categories previously introduced by Bondal, Larsen, and …

We continue our study of the McKay Correspondence for grading preserving actions of
semisimple Hopf algebras H on (noncommutative) Artin–Schelter regular algebras A. Here …

We continue our development of tannakizations of symmetric monoidal∞-categories, begun
in [19]. In this note we calculate the tannakizations of some examples of symmetric monoidal …

arXiv:math/0601185v5 [math.KT] 19 Jun 2006 Page 1 arXiv:math/0601185v5 [math.KT] 19 Jun
2006 ON DIFFERENTIAL GRADED CATEGORIES BERNHARD KELLER Abstract. Differential …

In the first part of this paper, we study Koszul property of directed graded categories. In the
second part of this paper, we prove a general criterion for an infinite directed category to be …

Six operations on dg enhancements of derived categories of sheaves Page 1 Sel. Math. New
Ser. (2018) 24:1805–1911 https://doi.org/10.1007/s00029-018-0392-4 Selecta Mathematica …