Results 61 to 70 of about 6,340 (111)

On the parameterized Tate construction

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
wiley   +1 more source

Towards an operad-based cryptography: Applications of commutative operads

Lobachevskii Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gaynullina A., Tronin S.
openaire   +5 more sources

Double Copy From Tensor Products of Metric BV■‐Algebras

Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf   +5 more
wiley   +1 more source

Operads of compatible structures and weighted partitions

, 2007
In this paper we describe operads encoding two different kinds of compatibility of algebraic structures. We show that there exist decompositions of these in terms of black and white products and we prove that they are Koszul for a large class of ...
Björner, Björner, Chapoton, Dotsenko, Garsia, Ginzburg, Ginzburg, Henrik Strohmayer, Magri, Markl, Vallette   +10 more
core   +1 more source

A stable splitting of factorisation homology of generalised surfaces

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract For a manifold W$W$ and an Ed$\smash{E_{\smash{d}} }$‐algebra A$A$, the factorisation homology ∫WA$\smash{\int _W A}$ can be seen as a generalisation of the classical configuration space of labelled particles in W$W$. It carries an action by the diffeomorphism group Diff∂(W)$\mathrm{Diff}{}_\partial (W)$, and for the generalised surfaces Wg,1≔(
Florian Kranhold
wiley   +1 more source

Plethysm Products, Element– and Plus Constructions

Comptes Rendus. Mathématique
Motivated by viewing categories as bimodule monoids over their isomorphism groupoids, we construct monoidal structures called plethysm products on three levels: that is for bimodules, relative bimodules and factorizable bimodules.
Kaufmann, Ralph M., Monaco, Michael
doaj   +1 more source

Steenrod operations via higher Bruhat orders

Proceedings of the London Mathematical Society, Volume 130, Issue 2, February 2025.
Abstract The purpose of this paper is to establish a correspondence between the higher Bruhat orders of Yu. I. Manin and V. Schechtman, and the cup‐i$i$ coproducts defining Steenrod squares in cohomology. To any element of the higher Bruhat orders, we associate a coproduct, recovering Steenrod's original ones from extremal elements in these orders ...
Guillaume Laplante‐Anfossi, Nicholas J. Williams   +1 more
wiley   +1 more source

The Disc-structure space

Forum of Mathematics, Pi
We study the $\mathscr {D}\mathrm {isc}$ -structure space $S^{\mathscr {D}\mathrm {isc}}_\partial (M)$ of a compact smooth manifold M. Informally speaking, this space measures the difference between M, together with its diffeomorphisms, and ...
Manuel Krannich, Alexander Kupers
doaj   +1 more source

Operads, Operadic Categories and the Blob Complex

Applied Categorical Structures
AbstractWe will show that the Morrison–Walker blob complex appearing in Topological Quantum Field Theory is an operadic bar resolution of a certain operad composed of fields and local relations. As a by-product we develop the theory of unary operadic categories and study some novel and interesting phenomena arising in this context.
Batanin, M. (Michael), Markl, M. (Martin)   +1 more
openaire   +3 more sources

On the equivalence of Lurie's ∞$\infty$‐operads and dendroidal ∞$\infty$‐operads

Journal of Topology, Volume 17, Issue 4, December 2024.
Abstract In this paper, we prove the equivalence of two symmetric monoidal ∞$\infty$‐categories of ∞$\infty$‐operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.
Vladimir Hinich, Ieke Moerdijk
wiley   +1 more source