Results 21 to 30 of about 92 (88)
Twisted ambidexterity in equivariant homotopy theory
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source
Operads in Higher-Dimensional Category Theory
Theory and Applications of Categories, 2004 The purpose of this dissertation is to set up a theory of generalized operads and multicategories, and to use it as a language in which to propose a definition of weak n-category. Included is a full explanation of why the proposed definition of n-category is a reasonable one, and of what happens when n=2.
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Higher order Massey products for algebras over algebraic operads
, 2023 We introduce higher-order Massey products for algebras over algebraic operads. This extends the work of Fernando Muro on secondary ones. We study their basic properties and behavior with respect to morphisms of algebras and operads and give some connections to formality.
Flynn-Connolly, Oisín +1 more
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A genuine G$G$‐spectrum for the cut‐and‐paste K$K$‐theory of G$G$‐manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Recent work has applied scissors congruence K$K$‐theory to study classical cut‐and‐paste (SK$SK$) invariants of manifolds. This paper proves the conjecture that the squares K$K$‐theory of equivariant SK$SK$‐manifolds arises as the fixed points of a genuine G$G$‐spectrum.
Maxine E. Calle, David Chan
wiley +1 more source
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
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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
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Higher structures, quantum groups and genus zero modular operad [PDF]
Journal of the London Mathematical Society, 2019 13 ...
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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
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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
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