An algebraic model for commutative Hℤ–algebras
We show that the homotopy category of commutative algebra spectra over the Eilenberg–
Mac Lane spectrum of an arbitrary commutative ring R is equivalent to the homotopy …
Mac Lane spectrum of an arbitrary commutative ring R is equivalent to the homotopy …
Derived algebraic geometry II: Noncommutative algebra
J Lurie - arXiv preprint math/0702299, 2007 - arxiv.org
In this paper, we present an infinity-categorical version of the theory of monoidal categories.
We show that the infinity category of spectra admits an essentially unique monoidal structure …
We show that the infinity category of spectra admits an essentially unique monoidal structure …
[HTML][HTML] Stable homotopy of algebraic theories
S Schwede - Topology, 2001 - Elsevier
The simplicial objects in an algebraic category admit an abstract homotopy theory via a
Quillen model category structure. We show that the associated stable homotopy theory is …
Quillen model category structure. We show that the associated stable homotopy theory is …
Homotopy theory of modules over operads in symmetric spectra
JE Harper - Algebraic & Geometric Topology, 2009 - msp.org
Homotopy theory of modules over operadsin symmetric spectra Page 1 Algebraic & Geometric
Topology 9 (2009) 1637–1680 1637 Homotopy theory of modules over operads in symmetric …
Topology 9 (2009) 1637–1680 1637 Homotopy theory of modules over operads in symmetric …
Homotopy completion and topological Quillen homology of structured ring spectra
Working in the context of symmetric spectra, we describe and study a homotopy completion
tower for algebras and left modules over operads in the category of modules over a …
tower for algebras and left modules over operads in the category of modules over a …
Tambara functors and commutative ring spectra
J Ullman - arXiv preprint arXiv:1304.4912, 2013 - arxiv.org
It is well known that the zeroth stable homotopy group of a genuine equivariant commutative
ring spectrum has multiplicative transfers (norms), making it into a Tambara functor. We …
ring spectrum has multiplicative transfers (norms), making it into a Tambara functor. We …
Bar constructions and Quillen homology of modules over operads
JE Harper - Algebraic & Geometric Topology, 2010 - msp.org
We show that topological Quillen homology of algebras and modules over operads in
symmetric spectra can be calculated by realizations of simplicial bar constructions. Working …
symmetric spectra can be calculated by realizations of simplicial bar constructions. Working …
Spectra in model categories and applications to the algebraic cotangent complex
S Schwede - Journal of Pure and Applied Algebra, 1997 - Elsevier
Consider a commutative simplicial ring B which is an algebra over the rational numbers. We
show that the homotopy theory of simplicial B-modules and the stable homotopy theory of …
show that the homotopy theory of simplicial B-modules and the stable homotopy theory of …
G-symmetric monoidal categories of modules over equivariant commutative ring spectra
AJ Blumberg, MA Hill - Tunisian Journal of Mathematics, 2019 - msp.org
We describe the multiplicative structures that arise on categories of equivariant modules
over certain equivariant commutative ring spectra. Building on our previous work on N∞ ring …
over certain equivariant commutative ring spectra. Building on our previous work on N∞ ring …
The higher Morita category of 𝔼n–algebras
R Haugseng - Geometry & Topology, 2017 - msp.org
We introduce simple models for associative algebras and bimodules in the context of
nonsymmetric∞–operads, and use these to construct an (∞, 2)–category of associative …
nonsymmetric∞–operads, and use these to construct an (∞, 2)–category of associative …