36 citations · 164 across the 16 of their papers we have counts for
16 papers
K-theory and polynomial functors
Clark Barwick, Saul Glasman, Akhil Mathew +1
We show that the algebraic K-theory space of stable infinity-categories is canonically functorial in polynomial functors. As a consequence, we obtain a new proof of Bökstedt's calc…
Stable power operations
Saul Glasman, Tyler Lawson
For any ring spectrum , we show that there is an algebra of stable power operations that acts naturally on the underlying spectrum of any -algebr…
Exodromy
Clark Barwick, Saul Glasman, Peter Haine
Let be a quasicompact quasiseparated scheme. Write for the category whose objects are geometric points of and whose morphisms are specializations in…
Categorifying rationalization
Clark Barwick, Saul Glasman, Marc Hoyois +2
We solve a problem proposed by Khovanov by constructing, for any set of primes , a triangulated category (in fact a stable -category) whose Grothendieck group is $S^{-1}…
Goodwillie calculus and Mackey functors
Saul Glasman
We show that the category of -excisive functors from the -category of spectra to a target stable -category is equivalent to the category of $\mathbf…
Parametrized higher category theory and higher algebra: Exposé I -- Elements of parametrized higher category theory
Clark Barwick, Emanuele Dotto, Saul Glasman +2
We introduce the basic elements of the theory of parametrized -categories and functors between them. These notions are defined as suitable fibrations of -categories…
Parametrized higher category theory and higher algebra: A general introduction
Clark Barwick, Emanuele Dotto, Saul Glasman +2
We introduce the study of parametrized higher category theory and parametrized higher algebra, and we describe the main theorems of the series of Exposés that make up the monograph…
On the fibrewise effective Burnside -category
Clark Barwick, Saul Glasman
Effective Burnside -categories are the centerpiece of the -categorical approach to equivariant stable homotopy theory. In this étude, we recall the construction of…
A note on stable recollements
Clark Barwick, Saul Glasman
In this short étude, we observe that the full structure of a recollement on a stable infinity-category can be reconstructed from minimal data: that of a reflective and coreflective…
Cyclonic spectra, cyclotomic spectra, and a conjecture of Kaledin
Clark Barwick, Saul Glasman
With an explicit, algebraic indexing -category, we develop an efficient homotopy theory of cyclonic objects: circle-equivariant objects relative to the family of finite subg…
Stratified categories, geometric fixed points and a generalized Arone-Ching theorem
Saul Glasman
We develop a theory of Mackey functors on epiorbital categories which simultaneously generalizes the theory of genuine -spectra for a finite group and the theory of -exci…
Spectral Mackey functors and equivariant algebraic K-theory (II)
C. Barwick, S. Glasman, J. Shah
We study the "higher algebra" of spectral Mackey functors, which the first named author introduced in Part I of this paper. In particular, armed with our new theory of symmetric pr…
A note on commutative algebras and their modules in quasicategories
Saul Glasman
We define a convenient -operad parametrizing modules over commutative algebras in -categories.
Dualizing cartesian and cocartesian fibrations
Clark Barwick, Saul Glasman, Denis Nardin
In this technical note, we proffer a very explicit construction of the "dual cocartesian fibration" of a cartesian fibration , and we show they are classified by the…
A spectrum-level Hodge filtration on topological Hochschild homology
Saul Glasman
We define a functorial spectrum-level filtration on the topological Hochschild homology of any commutative ring spectrum , and more generally the factorization homology $R \otim…
Day convolution for infinity-categories
Saul Glasman
Given symmetric monoidal infinity-categories C and D, subject to mild hypotheses on D, we define an infinity-categorical analog of the Day convolution symmetric monoidal structure…