Results 71 to 80 of about 31,935 (188)
Erratum to "Homotopy in Functor Categories" [PDF]
Transactions of the American Mathematical Society, 1983 J*LanjJ*X J*LanJA = C o (JOP X J) cA ?J*X kJ*9 J*X J*X is a 2-cofibration. Since J* is a left adjoint, the lower square is a pushout. Since (J*eX)71J*X = 1, the conclusion follows in routine fashion. The additional hypothesis asks to be characterized as the assertion that C' C C is a cofibered subcategory. There have been other uses of the adjective in
openaire +2 more sources
Homotopy representations over the orbit category [PDF]
Homology, Homotopy and Applications, 2014 Let G be a finite group. The unit sphere in a finite-dimensional orthogonal G-representation motivates the definition of homotopy representations, due to tom Dieck. We introduce an algebraic analogue, and establish its basic properties including the Borel-Smith conditions and realization by finite G-CW-complexes.
Hambleton, I., Yalcin, E.
openaire +6 more sources
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
Centers and homotopy centers in enriched monoidal categories
, 2011 We consider a theory of centers and homotopy centers of monoids in monoidal categories which themselves are enriched in duoidal categories. Duoidal categories (introduced by Aguillar and Mahajan under the name 2-monoidal categories) are categories with ...
Batanin, M., Markl, M.
core +1 more source
Noncommutative polygonal cluster algebras
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
wiley +1 more source
On central automorphisms of crossed modules
Karpatsʹkì Matematičnì Publìkacìï, 2018 A crossed module $(T,G,\partial)$ consist of a group homomorphism $\partial:T\rightarrow G$ together with an action $(g,t)\rightarrow{}^{\,g}t$ of $G$ on $T$ satisfying $\partial(^{\,g}t)=g\partial(t)g^{-1}$ and $\,^{\partial(s)}t=sts^{-1}$, for all $g ...
M. Dehghani, B. Davvaz
doaj +1 more source
Homotopy equivalences between p-subgroup categories [PDF]
Journal of Pure and Applied Algebra, 2015 Let p be a prime number and G a finite group of order divisible by p. Quillen showed that the Brown poset of nonidentity p-subgroups of G is homotopy equivalent to its subposet of nonidentity elementary abelian subgroups. We show here that a similar statement holds for the fusion category of nonidentity p-subgroups of G. Other categories of p-subgroups
Gelvin, Matthew Justin Karcher +1 more
openaire +3 more sources
Fortschritte der Physik, Volume 74, Issue 3, March 2026.ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal +2 more
wiley +1 more source
Posets arising from decompositions of objects in a monoidal category
Forum of Mathematics, SigmaGiven a symmetric monoidal category ${\mathcal C}$ with product $\sqcup $ , where the neutral element for the product is an initial object, we consider the poset of $\sqcup $ -complemented subobjects of a given object X.
Kevin Ivan Piterman, Volkmar Welker
doaj +1 more source
Quasi‐Fuchsian flows and the coupled vortex equations
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
wiley +1 more source