Homotopy theory of $dg$ categories via localizing pairs and Drinfeld’s $dg$ quotient

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Deriving Dg Categories

We investigate the (unbounded) derived category of a diierential Z-graded category (=DG category). As a rst application, we deduce a 'triangulatedanaloguè (4.3) of a theorem of Freyd's 5, Ex. 5.3 H] and Gabriel's 6, Ch. V] characterizing module categories among abelian categories. After adapting some homological algebra we go on to prove a 'Morita theorem`(8.2) generalizing results of 19] and 2...

متن کامل

Homotopy Dg Algebras Induce Homotopy Bv Algebras

Let TA denote the space underlying the tensor algebra of a vector space A. In this short note, we show that if A is a differential graded algebra, then TA is a differential BatalinVilkovisky algebra. Moreover, if A is an A∞ algebra, then TA is a commutative BV∞ algebra. 1. Main Statement Let (A, dA) be a complex over a commutative ring R. Our convention is that dA is of degree +1. The space TA ...

متن کامل

The Mother of All Isomorphism Conjectures via Dg Categories and Derivators

We describe a fundamental additive functor Efund on the orbit category of a group. We prove that any isomorphism conjecture valid for Efund also holds for all additive functors, like K-theory, (topological) Hochschild or cyclic homology, etc. Finally, we reduce this universal isomorphism conjecture to K-theoretic ones, at the price of introducing some coefficients.

متن کامل

Perfect Derived Categories of Positively Graded DG Algebras

We investigate the perfect derived category dgPer(A) of a positively graded differential graded (dg) algebra A whose degree zero part is a dg subalgebra and semisimple as a ring. We introduce an equivalent subcategory of dgPer(A) whose objects are easy to describe, define a t-structure on dgPer(A) and study its heart. We show that dgPer(A) is a Krull-RemakSchmidt category and consider the case ...

متن کامل

K-Theory and G-Theory of DG-stacks

In this paper, we establish results of a basic nature for the the K-theory and G-theory of algebraic stacks, i.e. Artin stacks. At the same time, we enlarge the framework a bit more so that these results not only hold for stacks, but also for what are called dg-stacks, i.e. algebraic stacks where the usual structure sheaf is replaced by a sheaf of dgas.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Homology, Homotopy and Applications

سال: 2010

ISSN: 1532-0073,1532-0081

DOI: 10.4310/hha.2010.v12.n1.a11