[图书][B] Axiomatic stable homotopy theory

M Hovey, JH Palmieri, NP Strickland - 1997 - books.google.com
We define and investigate a class of categories with formal properties similar to those of the
homotopy category of spectra. This class includes suitable versions of the derived category …

Quadratic functions in geometry, topology, and M-theory

MJ Hopkins, IM Singer - Journal of Differential Geometry, 2005 - projecteuclid.org
Quadratic refinements of the intersection pairing on a Riemann surface appear to have two
mathematical origins: one in complex function theory dating back to Riemann in the 1870's …

Integral transforms and Drinfeld centers in derived algebraic geometry

D Ben-Zvi, J Francis, D Nadler - Journal of the American Mathematical …, 2010 - ams.org
We study the interaction between geometric operations on stacks and algebraic operations
on their categories of sheaves. We work in the general setting of derived algebraic …

Homotopical algebraic geometry I: Topos theory

B Toën, G Vezzosi - Advances in mathematics, 2005 - Elsevier
This is the first of a series of papers devoted to lay the foundations of Algebraic Geometry in
homotopical and higher categorical contexts. In this first part we investigate a notion of …

[图书][B] Equivariant Orthogonal Spectra and -Modules

MA Mandell, JP May - 2002 - books.google.com
The last few years have seen a revolution in our understanding of the foundations of stable
homotopy theory. Many symmetric monoidal model categories of spectra whose homotopy …

[HTML][HTML] Stable model categories are categories of modules

S Schwede, B Shipley - Topology, 2003 - Elsevier
A stable model category is a setting for homotopy theory where the suspension functor is
invertible. The prototypical examples are the category of spectra in the sense of stable …

[HTML][HTML] Spectra and symmetric spectra in general model categories

M Hovey - Journal of Pure and Applied Algebra, 2001 - Elsevier
We give two general constructions for the passage from unstable to stable homotopy that
apply to the known example of topological spaces, but also to new situations, such as the A …

[PDF][PDF] Spaces over a category and assembly maps in isomorphism conjectures in K‐and L‐theory

JF Davis, W Lück - K-theory, 1998 - jfdmath.sitehost.iu.edu
We give a unified approach to the Isomorphism Conjecture of Farrell and Jones on the
algebraic K-and L-theory of integral group rings and to the Baum–Connes Conjecture on the …

[图书][B] The local structure of algebraic K-theory

BI Dundas, TG Goodwillie, R McCarthy - 2012 - books.google.com
Algebraic K-theory encodes important invariants for several mathematical disciplines,
spanning from geometric topology and functional analysis to number theory and algebraic …

[图书][B] Modules over operads and functors

B Fresse - 2009 - books.google.com
Page 1 Benoit Fresse Modules over Operads and Functors 2) Springer Page 2 Lecture Notes
in Mathematics 1967 Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Page …