Results 31 to 40 of about 6,340 (111)
The Music Box Operad: Random Generation of Musical Phrases from Patterns
Journal of Creative Music SystemsWe introduce the notion of multi-pattern, a combinatorial abstraction of polyphonic musical phrases. The interest of this approach to encode musical phrases lies in the fact that it becomes possible to compose multi-patterns in order to produce new ones.
Samuele Giraudo
doaj +1 more source
Operadic Twisting -- with an application to Deligne's conjecture [PDF]
, 2014 We study categorial properties of the operadic twisting functor Tw. In particular, we show that Tw is a comonad. Coalgebras of this comonad are operads for which a natural notion of twisting by Maurer-Cartan elements exists.
Dolgushev, Vasily, Willwacher, Thomas
core +1 more source
, 2022 AbstractThe theory of operads is a convenient framework to define various types of algebraic structures in many different contexts. In this first chapter we will define the notion of an operad as well as that of an algebra for an operad. We present several well-known examples.
Gijs Heuts, Ieke Moerdijk
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Steps toward the weak higher category of weak higher categories in the globular setting [PDF]
Categories and General Algebraic Structures with Applications, 2016 We start this article by rebuilding higher operads of weak higher transformations, and correct those in cite{Cambat}. As in cite{Cambat} we propose an operadic approach for weak higher $n$-transformations, for each $ninmathbb{N}$, where such weak higher $
Camell Kachour
doaj
An operadic proof of Baez-Dolan stabilization hypothesis [PDF]
, 2016 We prove a stabilization theorem for algebras of n-operads in a monoidal model category. It implies a version of Baez-Dolan stabilization hypothesis for Rezk's weak n-categories and some other stabilization results.Comment: 14 pages, the paper is now in ...
Batanin, Michael
core +3 more sources
, 2004 This paper is a sequel to [LoMa] where moduli spaces of painted stable curves were introduced and studied. We define the extended modular operad of genus zero, algebras over this operad, and study the formal differential geometric structures related to these algebras: pencils of flat connections and Frobenius manifolds without metric.
Manin, Y., Losev, A.
openaire +3 more sources
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 +2 more
wiley +1 more source
Hinich's model for Day convolution revisited
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove that Hinich's construction of the Day convolution operad of two O$\mathcal {O}$‐monoidal ∞$\infty$‐categories is an exponential in the ∞$\infty$‐category of ∞$\infty$‐operads over O$\mathcal {O}$, and use this to give an explicit description of the formation of algebras in the Day convolution operad as a bivariant functor.
Christoph Winges
wiley +1 more source
Operads of higher transformations for globular sets and for higher magmas [PDF]
Categories and General Algebraic Structures with Applications, 2015 In this article we discuss examples of fractal $omega$-operads. Thus we show that there is an $omega$-operadic approach to explain existence of the globular set of globular setsfootnote{Globular sets are also called $omega$-graphs by the French ...
Camell Kachour
doaj