Results 11 to 20 of about 94 (89)

Rickard's derived Morita theory: Review and outlook

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso, Henning Krause, Sibylle Schroll   +2 more
wiley   +1 more source

Infinity‐operadic foundations for embedding calculus

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley   +1 more source

Initial objects, terminal objects, zero objects, and equalizers in the category Seg of Segal topological algebras

Proceedings of the Estonian Academy of Sciences, 2020
In this paper the initial, terminal, and zero objects in the category Seg of Segal topological algebras are described and some sufficient conditions under which the equalizers in Seg exist are found.
openaire   +2 more sources

Deforming the Double‐Scaled SYK and Reaching the Stretched Horizon From Finite Cutoff Holography

Fortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We study the properties of the double‐scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower‐dimensional analog of TT¯(+Λ2)$\text{T}\overline{\text{T}}(+\Lambda _2)$ deformations, denoted T2 ...
Sergio E. Aguilar‐Gutierrez
wiley   +1 more source

Equivariant algebraic vs. topological K-homology Atiyah-Segal-style

Duke Mathematical Journal, 1988
Let G be a group scheme over a suitable base scheme S, acting on a noetherian locally separated algebraic space X. \(G\to S\) is supposed to be flat, separated and of finite type. Then one can associate to the exact category of coherent sheaves of \({\mathcal O}_ X\)-modules with compatible G-action and to the exact subcategory of algebraic G-vector ...
openaire   +3 more sources

A note on relative Gelfand–Fuks cohomology of spheres

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
wiley   +1 more source

A genuine G$G$‐spectrum for the cut‐and‐paste K$K$‐theory of G$G$‐manifolds

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Recent work has applied scissors congruence K$K$‐theory to study classical cut‐and‐paste (SK$SK$) invariants of manifolds. This paper proves the conjecture that the squares K$K$‐theory of equivariant SK$SK$‐manifolds arises as the fixed points of a genuine G$G$‐spectrum.
Maxine E. Calle, David Chan
wiley   +1 more source

Assembly of constructible factorization algebras

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde   +2 more
wiley   +1 more source

Modeling (∞,1)$(\infty,1)$‐categories with Segal spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract In this paper, we construct a model structure for (∞,1)$(\infty,1)$‐categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of (∞,1)$(\infty,1)$‐categories given by complete Segal spaces and Segal categories.
Lyne Moser, Joost Nuiten
wiley   +1 more source

Constructing new Segal topological algebras from existing ones

Proceedings of the Estonian Academy of Sciences
In this paper, we examine the properties of Segal topological algebras, looking at ways to construct new objects from existing ones. Equipped with the example of algebras (in the sense of vector spaces equipped with multiplication), we consider two approaches: one via a direct product of an arbitrary family of Segal topological algebras and another ...
René Piik, Mart Abel
openaire   +1 more source