Results 61 to 70 of about 3,791 (108)
Configuration spaces of products
, 2018 We show that the configuration spaces of a product of parallelizable manifolds may be recovered from those of the factors as the Boardman-Vogt tensor product of right modules over the operads of little cubes of the appropriate dimension.
Dwyer, William +2 more
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Higher genus surface operad detects infinite loop spaces
Mathematische Annalen, 2000 Spaces with various structures have been organized by homotopy theorists using the notion of an operad. It is the case that algebraic notions are not always homotopy theoretic notions, and so families of higher homotopies are needed in order for the algebraic structure to manifest itself up to homotopy.
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Substitudes, Bousfield localization, higher braided operads, and Baez-Dolan stabilization
, 2021 This short note reports on joint work with Michael Batanin towards a general machine for proving Baez-Dolan Stabilization Theorems for various models of higher categories, based on substitudes, Bousfield localization, and homotopical Beck-Chevalley squares.
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Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]
Results Math, 2023 Bremner MR, Brox J, Sánchez-Ortega J.
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Operads for complex system design specification, analysis and synthesis. [PDF]
Proc Math Phys Eng Sci, 2021 Foley JD +3 more
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On a higher structure on operadic deformation complexes
Theory and Applications of Categories, 2018 Let \(\mathbf{k}\) be a field of characteristic \(0\) and let \(\mathrm{Vect}(\mathbf{k})\) be the \(\mathbf{k}\)-linear abelian category of (unbounded) complexes of \(\mathbf{k}\)-vector spaces. The main result of the paper under this review is the next theorem: Theorem.
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An algebraic framework for structured epidemic modelling. [PDF]
Philos Trans A Math Phys Eng Sci, 2022 Libkind S +4 more
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Operadic Calculus for Higher Colour-Kinematics Duality
The search for algebraic foundations of colour-kinematics duality and the double-copy construction has brought into focus a generalization of Batalin--Vilkovisky algebras, referred to here as coexact BV-algebras and as $\textrm{BV}^\square$-algebras in other sources.
Medina-Mardones, Anibal M. +1 more
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Higher configuration operads by way of quiver Grassmannians
, 2012 We introduce a construction that associates, to each finite dimensional k-vector space V, a family of projective k-varieties that comes equipped with the structure of a operad in the category of k-schemes. When dim V = 1, this operad contains, as a suboperad, the family of moduli spaces of stably marked rational curves.
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A Survey of Definitions of n-Category
, 2001 Many people have proposed definitions of `weak n-category'. Ten of them are presented here. Each definition is given in two pages, with a further two pages on what happens when n = 0, 1, or 2. The definitions can be read independently.
Leinster, Tom
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