Results 11 to 20 of about 15,595 (125)
Monoidal Uniqueness of Stable Homotopy Theory
Advances in Mathematics, 2001 B. Shipley
semanticscholar +3 more sources
Foundations of Stable Homotopy Theory
, 2020 The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points.
David Barnes, Constanze Roitzheim
semanticscholar +1 more source
Homotopy theory of modules over diagrams of rings
Proceedings of the American Mathematical Society, Series B, 2014 Given a diagram of rings, one may consider the category of modules over them. We are interested in the homotopy theory of categories of this type: given a suitable diagram of model categories ℳ(𝓈) (as 𝓈 runs through the diagram ...
J. P. C. Greenlees, B. Shipley
doaj +1 more source
Characteristics for E∞ ring spectra [PDF]
, 2018 We introduce a notion of characteristic for connective p-local E∞ ring spectra and study some basic properties. Apart from examples already pointed out by Markus Szymik, we investigate some examples built from Hopf invariant 1 elements in the stable ...
Baker, Andrew
core +4 more sources
Algebraic Kasparov K-theory. I [PDF]
, 2014 This paper is to construct unstable, Morita stable and stable bivariant algebraic Kasparov $K$-theory spectra of $k$-algebras. These are shown to be homotopy invariant, excisive in each variable $K$-theories. We prove that the spectra represent universal
Cuntz +10 more
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Primes and fields in stable motivic homotopy theory [PDF]
, 2016 Let F be a field of characteristic different than 2. We establish surjectivity of Balmer's comparison map rho^* from the tensor triangular spectrum of the homotopy category of compact motivic spectra to the homogeneous Zariski spectrum of Milnor-Witt K ...
J. Heller, K. Ormsby
semanticscholar +1 more source
Duality for Smooth Families in Equivariant Stable Homotopy Theory
Astérisque, 2018 — In this paper, we formulate and prove a duality theorem for the equivariant stable homotopy category, using the language of Verdier duality from sheaf theory.
P. Hu
semanticscholar +1 more source
Bar–cobar duality for operads in stable homotopy theory [PDF]
, 2010 We extend bar–cobar duality, defined for operads of chain complexes by Getzler and Jones, to operads of spectra in the sense of stable homotopy theory. Our main result is the existence of a Quillen equivalence between the category of reduced operads of ...
Michael Ching
semanticscholar +1 more source
Symmetric monoidal noncommutative spectra, strongly self-absorbing $C^*$-algebras, and bivariant homology [PDF]
, 2016 Continuing our project on noncommutative (stable) homotopy we construct symmetric monoidal $\infty$-categorical models for separable $C^*$-algebras $\mathtt{SC^*_\infty}$ and noncommutative spectra $\mathtt{NSp}$ using the framework of Higher Algebra due
Mahanta, Snigdhayan
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A noncommutative model for higher twisted K-Theory [PDF]
, 2015 We develop a operator algebraic model for twisted $K$-theory, which includes the most general twistings as a generalized cohomology theory (i.e. all those classified by the unit spectrum $bgl_1(KU)$).
Pennig, Ulrich
core +2 more sources