Results 11 to 20 of about 1,165 (115)
Advances in Mathematics, 2001 Given a small category C, we show that there is a universal way of expanding C into a model category, essentially by formally adjoining homotopy colimits. The technique of localization becomes a method for imposing `relations' into these universal gadgets.
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Journal of Applied and Computational Topology, 2023 AbstractWe implement an algorithm RSHT (random simple-homotopy) to study the simple-homotopy types of simplicial complexes, with a particular focus on contractible spaces and on finding substructures in higher-dimensional complexes. The algorithm combines elementary simplicial collapses with pure elementary expansions. For triangulated d-manifolds with
Benedetti, Bruno +3 more
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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Revisiting (∞,2)${(\infty,2)}$‐naturality of the Yoneda embedding
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We show that the Yoneda embedding ‘is’ (∞,2)$(\infty,2)$‐natural with respect to the functoriality of presheaves via left Kan extension, refining the (∞,1)$(\infty,1)$‐categorical result proven independently by Haugseng–Hebestreit–Linskens–Nuiten and Ramzi, and answering a question of Ben‐Moshe.
Tobias Lenz
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Homotopy theory of homotopy algebras [PDF]
Annales de l'Institut Fourier, 2020 This paper studies the homotopy theory of algebras and homotopy algebras over an operad. It provides an exhaustive description of their higher homotopical properties using the more general notion of morphism called infinity-morphism. The method consists in using the operadic calculus to endow the category of coalgebras over the Koszul dual cooperad or ...
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Fortschritte der Physik, Volume 74, Issue 3, March 2026.ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal +2 more
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Quasi‐Fuchsian flows and the coupled vortex equations
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
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Homotopy theory of bicomplexes [PDF]
Journal of Pure and Applied Algebra, 2019 We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model structure has weak equivalences detected by the totalisation functor. The second model structure's weak equivalences are detected by the $E^2$-term of the spectral sequence associated to the filtration of the total complex by the ...
Muro Jiménez, Fernando +1 more
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The systole of random hyperbolic 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the systole of a model of random hyperbolic 3‐manifolds introduced in Petri and Raimbault [Comment. Math. Helv. 97 (2022), no. 4, 729–768], answering a question posed in that same article. These are compact manifolds with boundary constructed by randomly gluing truncated tetrahedra along their faces.
Anna Roig‐Sanchis
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Local equivalence and refinements of Rasmussen's s‐invariant
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
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