Results 71 to 80 of about 19,192 (198)
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
Syntax-Semantics Interaction in Mathematics
Studia Semiotyczne, 2019 DOI: http://doi.org/10.26333/sts.xxxii2.06 MICHAEL HELLER SYNTAX–SEMANTICS INTERACTION IN MATHEMATICS SU M M A R Y: Mathematical tools of category theory are employed to study the syntax-semantics problem in the philosophy of mathematics.
Michael Heller
doaj
Derived Kan extension for strict polynomial functors [PDF]
arXiv, 2011 We investigate fundamental properties of adjoint functors to the precomposition functor in the category of strict polynomial functors.
arxiv
A property of the interleaving distance for sheaves
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 137-149, January 2025.Abstract Let X$X$ be a real analytic manifold endowed with a distance satisfying suitable properties and let k${\bf k}$ be a field. In [Petit and Schapira, Selecta Math. 29 (2023), no. 70, DOI 10.1007/s00029‐023‐00875‐6], the authors construct a pseudo‐distance on the derived category of sheaves of k${\bf k}$‐modules on X$X$, generalizing a previous ...
François Petit +2 more
wiley +1 more source
Tambarization of a Mackey functor and its application to the Witt-Burnside construction [PDF]
arXiv, 2010 For an arbitrary group $G$, a (semi-)Mackey functor is a pair of covariant and contravariant functors from the category of $G$-sets, and is regarded as a $G$-bivariant analog of a commutative (semi-)group. In this view, a $G$-bivariant analog of a (semi-)ring should be a (semi-)Tambara functor.
arxiv
Modular representations of the Yangian Y2$Y_2$
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Let Y2$Y_2$ be the Yangian associated to the general linear Lie algebra gl2$\mathfrak {gl}_2$, defined over an algebraically closed field k$\mathbb {k}$ of characteristic p>0$p>0$. In this paper, we study the representation theory of the restricted Yangian Y2[p]$Y^{[p]}_2$.
Hao Chang, Jinxin Hu, Lewis Topley
wiley +1 more source
Holographic Duals of Symmetry Broken Phases
Fortschritte der Physik, Volume 72, Issue 12, December 2024.Abstract A novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity is explored by proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal effective field theory (EFT) that describes spontaneous symmetry breaking on the boundary.
Andrea Antinucci +2 more
wiley +1 more source
Adjunctions and Braided Objects [PDF]
arXiv, 2013 In this paper we investigate the categories of braided objects, algebras and bialgebras in a given monoidal category, some pairs of adjoint functors between them and their relations. In particular we construct a braided primitive functor and its left adjoint, the braided tensor bialgebra functor, from the category of braided objects to the one of ...
arxiv
, 2011 There is a lot of redundancy in the usual definition of adjoint functors. We define and prove the core of what is required. First we do this in the hom-enriched context. Then we do it in the cocompletion of a bicategory with respect to Kleisli objects, which we then apply to internal categories. Finally, we describe a doctrinal setting.
openaire +2 more sources
Adjoints to a Fourier–Mukai functor
Advances in Mathematics, 2017 Given a Fourier–Mukai functor Φ in the general setting of singular schemes, under various hypotheses we provide both left and a right adjoints to Φ, and also give explicit formulas for them. These formulas are simple and natural, and recover the usual formulas when the Fourier–Mukai kernel is a perfect complex. This extends previous work of [1], [12], [
openaire +2 more sources