Results 11 to 20 of about 92 (88)
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
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The cleavage operad and string topology of higher dimension [PDF]
Transactions of the American Mathematical Society, 2014 For a manifold N N embedded inside euclidean space
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Locally constant $n$-operads as higher braided operads
Journal of Noncommutative Geometry, 2010 We introduce a category of locally constant n -operads which can be considered as the category of higher braided operads. For
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Towards Unifying Structures in Higher Spin Gauge Symmetry
Symmetry, Integrability and Geometry: Methods and Applications, 2008 This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical constructs and not ...
Anders K.H. Bengtsson
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Higher Categories and Slices of Globular Operads
, 2023 In an unpublished preprint \cite{batanin}, Batanin conjectures that it is possible to take `slices' of a globular operad, thereby isolating the algebraic structure in each dimension. It was further hypothesised that the slices of a globular operad for some theory of higher category contain essential information about those higher categories, namely ...
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The Eckmann–Hilton argument and higher operads
Advances in Mathematics, 2008 57pp
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
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Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
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Free Products of Higher Operad Algebras
Theory and Applications of Categories, 2013 35 ...
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Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
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