Results 81 to 90 of about 6,556,269 (259)
Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras
, 2015 We calculate the higher homotopy groups of the Deligne–Getzler ∞-groupoid associated to a nilpotent L∞-algebra. As an application, we present a new approach to the rational homotopy theory of mapping spaces.
Berglund, Alexander,
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Journal of High Energy PhysicsWe give an interpretation of holography in the form of the AdS/CFT correspondence in terms of homotopy algebras. A field theory such as a bulk gravity theory can be viewed as a homotopy Lie or L ∞ algebra. We extend this dictionary to theories defined on
Christoph Chiaffrino +2 more
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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
wiley +1 more source
Monoidality of Franke's exotic model [PDF]
, 2011 We discuss the monoidal structure on Franke's algebraic model for the K_{(p)} -local stable homotopy category at odd primes and show that its Picard group is isomorphic to the ...
Roitzheim, C. +5 more
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Combinatorial zeta functions counting triangles
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard +3 more
wiley +1 more source
Towards a homotopy domain theory
Archive for Mathematical Logic, 2022 An appropriate framework is put forward for the construction of $λ$-models with $\infty$-groupoid structure, which we call \textit{homotopic $λ$-models}, through the use of an $\infty$-category with cartesian closure and enough points. With this, we establish the start of a project of generalization of Domain Theory and $λ$-calculus, in the sense that ...
Daniel O. Martínez-Rivillas +1 more
openaire +3 more sources
A higher-dimensional categorical perspective on 2-crossed modules
Demonstratio MathematicaIn this study, we will express the 2-crossed module of groups from a higher-dimensional categorical perspective. According to simplicial homotopy theory, a 2-crossed module is the Moore complex of a 2-truncated simplicial group.
Özel Emre +2 more
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Homotopy theory of Moore flows (II)
Extracta Mathematicae, 2021 This paper proves that the q-model structures of Moore flows and of multipointed d-spaces are Quillen equivalent. The main step is the proof that the counit and unit maps of the Quillen adjunction are isomorphisms on the q-cofibrant objects (all objects ...
Philippe Gaucher
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