Results 41 to 50 of about 6,340 (111)
Lattice operads and operad filtrations
, 2022 We elaborate on the notion of a filtration of an operad defined in terms of a lattice-valued operad serving as an indexing object. That covers ordinary integer-indexed filtrations of associative algebras and operads as a special case, yet the notion appears to be natural enough to encompass examples of other kind as well. The characteristic property of
openaire +2 more sources
Sullivan minimal models of operad algebras [PDF]
, 2016 preprintWe prove the existence of Sullivan minimal models of operad algebras, for a quite wide family of operads in the category of complexes of vector spaces over a field of characteristic zero.
Cirici, Joana, Roig Martí, Agustín
core +1 more source
Equivariant operads, string topology, and Tate cohomology
, 2007 From an operad C with an action of a group G, we construct new operads using the homotopy fixed point and orbit spectra. These new operads are shown to be equivalent when the generalized G-Tate cohomology of C is trivial.
Westerland, Craig
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Hom ω$\omega$‐categories of a computad are free
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We provide a new description of the hom functor on weak ω$\omega$‐categories, and show that it admits a left adjoint that we call the suspension functor. We then show that the hom functor preserves the property of being free on a computad, in contrast to the hom functor for strict ω$\omega$‐categories.
Thibaut Benjamin, Ioannis Markakis
wiley +1 more source
Algebras over the Operad of Hollow Cubes and a New Metric Function on the Non-Negative Quadrant of the Euclidean Plane [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2017 Some algebras over the operad of hollow cubes have been studied in this paper. These algebras are defined in the non-negative quadrant of the Euclidean plane. The geometric description of subalgebras generated by two elements has been given. It has been
A.R. Gaynullina, S.N. Tronin
doaj
Equivariant dendroidal sets and simplicial operads
, 2021 We establish a Quillen equivalence between the homotopy theories of equivariant Segal operads and equivariant simplicial operads with norm maps. Together with previous work, we further conclude that the homotopy coherent nerve is a right-Quillen ...
Bonventre, Peter +1 more
core
Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
Splitting of Operads and Rota-Baxter Operators on Operads [PDF]
Applied Categorical Structures, 2016 This paper establishes a uniform procedure to split the operations in any algebraic operad, generalizing previous known notions of splitting algebraic structures from the dendriform algebra of Loday that splits the associative operation to the successors that split any binary operad.
Pei, Jun, Bai, Chengming, Guo, Li
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Parametrized stability and the universal property of global spectra
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen +2 more
wiley +1 more source
Freeness theorems for operads via Gr\"obner bases [PDF]
, 2009 We show how to use Groebner bases for operads to prove various freeness theorems: freeness of certain operads as nonsymmetric operads, freeness of an operad Q as a P-module for an inclusion P into Q, freeness of a suboperad. This gives new proofs of many
Dotsenko, Vladimir
core +3 more sources