Homotopical Algebraic Geometry II: Geometric Stacks and Applications
- ISBN-10
- 0821840991
- ISBN-13
- 9780821840993
- Category
- Algebra, Homological
- Pages
- 224
- Language
- English
- Published
- 2008
- Publisher
- American Mathematical Soc.
- Authors
- Bertrand Toën, Gabriele Vezzosi
Description
This is the second part of a series of papers called ""HAG"", devoted to developing the foundations of homotopical algebraic geometry. The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category, such as derivations, etale and smooth morphisms, flat and projective modules, etc. They then use their theory of stacks over model categories to define a general notion of geometric stack over a base symmetric monoidal model category $C$, and prove that this notion satisfies the expected properties.
Get the book
Other editions
-
- 2008-04-03
- 244 pages
- Paperback
- American Mathematical Soc.
Similar books
-
Generalized Dyson Series, Generalized Feynman's Diagrams, the Feynman Integral, and Feynman's Operational Calculus
By Jonathan Rosenberg, Lowell Jones, David C. VellaGeneralized Dyson Series, Generalized Feynman's Diagrams, the Feynman Integral, and Feynman's Operational Calculus
-
The Künneth Theorem and the Universal Coefficient Theorem for Equivariant K-theory and KK-theory
By Jonathan Micah RosenbergThe Künneth Theorem and the Universal Coefficient Theorem for Equivariant K-theory and KK-theory
-
Colored Operads
By Donald YauIn particular, in the 1-colored case (C = {∗}), this map is O(0) ≅ O(0) ⊗ I θ X. We call these maps the 0-ary action. In practice, the 0-ary action provides the O-algebra X with units. For example, suppose O is the 1-colored operad ...
-
A Foundation for PROPs, Algebras, and Modules
By Mark W. Johnson, Donald YauThe prototypical example of an operad is called the endomorphism operad of an object A with EA(n) = Hom(A⊗n ,A). Here the elements are normally called n-ary operations, and the structure map γ comes from using the outputs ...
-
Tensor Products of Principal Series Representations: Reduction of Tensor Products of Principal Series: Representations of Complex Semisimple Lie Groups
By W. J. Padgett, Floyd L. Williams, John W. SchutzTensor Products of Principal Series Representations: Reduction of Tensor Products of Principal Series: Representations of Complex Semisimple Lie Groups
-
Derived l-Adic Categories for Algebraic Stacks
By Kai Behrend... of Volterra operators with application to Brownian motion, 2002 Roger Chalkley, Basic global relative invariants for ... 2001 Palle E. T. Jorgensen, Ruelle operators: Functions which are harmonic with respect to a transfer operator, ...
-
On Maps from Loop Suspensions to Loop Spaces and the Shuffle Relations on the Cohen Groups
By Jie WuThe maps from loop suspensions to loop spaces are investigated using group representations in this article.
-
Noncommutative Motives
By Gonçalo TabuadaThis book, prefaced by Yuri I. Manin, gives a rigorous overview of some of the main advances in the theory of noncommutative motives. It is divided into three main parts.
-
Rings, Modules and Algebras
By Iain T. AdamsonRings, Modules and Algebras