Results 41 to 50 of about 92 (88)
On the equivalence of Lurie's ∞$\infty$‐operads and dendroidal ∞$\infty$‐operads
Journal of Topology, Volume 17, Issue 4, December 2024.Abstract In this paper, we prove the equivalence of two symmetric monoidal ∞$\infty$‐categories of ∞$\infty$‐operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.
Vladimir Hinich, Ieke Moerdijk
wiley +1 more source
Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract We calculate the rational cohomology of the classifying space of the diffeomorphism group of the manifolds Ug,1n:=#g(Sn×Sn+1)∖int(D2n+1)$U_{g,1}^n:= \#^g(S^n \times S^{n+1})\setminus \mathrm{int}(D^{2n+1})$, for large g$g$ and n$n$, up to degree n−3$n-3$.
Johannes Ebert, Jens Reinhold
wiley +1 more source
Algebras of higher operads as enriched categories II
, 2009 66 pages. In version 2 we corrected the explicit construction of coequalisers in categories of algebras from section 7 of version 1. The new appendices discuss the background on these transfinite constructions more fully.
Batanin, Michael +2 more
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Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]
Results Math, 2023 Bremner MR, Brox J, Sánchez-Ortega J.
europepmc +1 more source
Operads for complex system design specification, analysis and synthesis. [PDF]
Proc Math Phys Eng Sci, 2021 Foley JD +3 more
europepmc +1 more source
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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An algebraic framework for structured epidemic modelling. [PDF]
Philos Trans A Math Phys Eng Sci, 2022 Libkind S +4 more
europepmc +1 more source
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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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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